case study questions class 11 maths 2021

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CBSE Class 11 Term-1 Maths 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

CBSE Class 11 Term-1 Maths 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

In this Post I Have Provided Mathematics  Class 11 Chapter-Wise MCQs, Case-Based Question And Assertion/Reason For Term-1 Session 2021-22 With Solutions. CBSE has Recently Included These Types Of MCQs  And Assertion/Reason For Term-1 Exam 2020.   Every Student Knows these types of Questions Are Very Important For Their Term-1 Examination.

Any student who want to download these MCQs, then they have to click on given respective download links and it will be automatically download in your Google Drive.

CBSE Class 11th  Physics  Term-1 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

For Downlod   Click Here

Given Below Are The Class 11 Mathematics Chapter Name with Respective Download Links Containing Study Material:

CBSE Sample Papers For Class 11 Mathematics

CBSE sample paper for class  11th Maths  is an important tools to analyse itself. Before going to final examinations every student try to solve different types of sample question paper. It will enhance your knowledge and also provide to increase mental ability. Sample question paper are the best resources for the student to prepare for their Board examinations.

These sample question papers are very helpful to the student to get an entire experience before attempting the Board examinations papers. If students solve different types of sample question papers then they get the good confidence about the appropriate answer and they make good score in their Board examinations.

As every student know CBSE always change their exam pattern and also the model paper for their Board examinations that is why it is very important to all the student to understand the Model paper pattern before going to the final examinations.

In this articles I have provided different types of question papers on the basis of CBSE latest exam pattern which will definitely help to the student for the good preparation for their examinations.

In every year before the Board examination, CBSE provide model test paper to the student, on the basis of these model test papers I have prepared sample question papers for class  11th Maths  which will help to the student to understand the concept of model test paper and also it will help to the student for good preparation for their board examination.

CBSE Sample Paper:

Maths And Physics With Pandey Sir  is a website which provide free study material and notes to every students who are preparing for their Board examinations. By going in Level Section you can select CBSE sample papers. In this section, I have provided CBSE sample paper for class 9th to 12th.

Also if you are preparing for any competitive exams, they can find out study material and important notes in Level Section. In this website I have also provided most important MCQs questions, Assertion/Reason based questions and case study based questions for Board examinations or any other competitive examinations.

Benefits Of Solving CBSE Sample Papers for Examination:

Time Management:-

With the help of CBSE sample question papers you can make a proper strategy for their examinations also by practicing sample question papers you can manage your time during the Board examinations.

Examination Strategy:-

After practicing different types of sample question papers you can understand on which section you have spend more time and which section is easy and which section is hard. In this way you can make a proper examination strategy.

Self Evaluation:-

Self evaluation is very important to every student because with the help of self evaluation, student can understand their weak and strong point, which is very important for any Board examinations. After practicing more and more simple paper you can evaluate himself.

To Identify Silly Mistakes:-

As every student know there are many questions in their question paper which are very easy  but student make mistakes in this types of question. By solving different types of sample question papers you can reduce their silly mistakes.

Advantages Of CBSE Sample Question Papers:

* To get a good exam ideas about your examination paper patterns

* Student can easily access to the question papers

* It is very helpful to know about the mark distribution system.

* Helpful in self evaluation

* To know about the pattern of CBSE

* Help to adjust a proper time management

* Available in PDF format

* Chapter wise CBSE sample papers

* CBSE sample papers for class 10

* CBSE sample paper class 12

* CBSE sample paper 2021-22 class 12 Solutions

* CBSE sample paper class 11

* CBSE Sample paper class 9

CBSE Case Study Questions for Class 11 Maths Sets Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 11 Maths Sets in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 11 Maths Sets PDF

Checkout our case study questions for other chapters.

• Chapter 2 Relations and Functions Case Study Questions
• Chapter 3 Trigonometric Functions Case Study Questions
• Chapter 4 Principle of Mathematical Induction Case Study Questions
• Chapter 5 Complex Numbers and Quadratic Equations Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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NCERT Solutions for Class 11 Maths

NCERT solutions for class 11 maths comprise a step-wise and detailed description of all the questions covered by the NCERT book on topics such as set theory, calculus, geometry, etc. They act as a guide to students who want to cross-check their results to questions as well as to kids who want a better understanding of concepts. These NCERT solutions class 11 maths are prepared by certified math experts who ensure that the matter is presented at a gradually increasing level of difficulty thus, enabling kids to build a strong foundation.

NCERT solutions for class 11 maths are extremely helpful for students preparing for the home exams such as units, half yearlies, and finals. As the subject matter of class 11th and 12th are closely interlinked it helps students to indirectly start their preparation for class 12th. CBSE class 11 maths NCERT solutions can also be very helpful for competitive exams such as IIT-JEE, BITS PILANI, etc.

NCERT Solutions Class 11 Maths PDF Download

The NCERT solutions class 11 maths are crafted for kids to promote the development of their cognitive and logical skills. All the NCERT solutions are available for free pdf download and are very easy to use. The solutions given below have been arranged chapter-wise and can be referred to when attempting problems of a particular topic.

Class 11 Maths NCERT Solutions Chapter 1 to 16

The knowledge that you gain from class 11th is especially important as it is put directly to use in class 12th also. Thus, periodically revisiting these solutions for revision of topics and extra practice is crucial. Download the class 11 NCERT textbook given below to develop in-depth mathematical knowledge.

☛ Download Class 11 Maths NCERT Book

NCERT Solutions Class 11 Maths Chapter 1 - Sets

NCERT solutions for class 11 maths sets teach students meticulously about set theory and how to create sets. This chapter also includes the various types of sets , subsets , Venn diagrams , and their analysis, as well as complements of sets.

Important Formulas in NCERT Solutions Class 11 Maths Chapter 1

• (A ∪ B)′ = A′ ∩ B′
• ( A ∩ B )′ = A′ ∪ B′
• n (A ∪ B) = n (A) + n (B)
• If A ∩ B ≠ φ, then n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

where A and B are sets

Class 11 Maths Chapter 1 Sets

Topics Covered: Class 11 Maths NCERT Solutions cover topics such as writing numbers in the form of sets, verifying empty, finite, infinite, equal sets, identifying subsets, performing various operations on sets, and finding complements of sets.

Total Questions: Class 11 maths chapter 1 Sets has 64 questions in total out of which 18 are easy, 37 are medium and 9 are tough problems. 

NCERT Solutions Class 11 Maths Chapter 2 - Relations and Functions

NCERT solutions for class 11 maths relations and functions describe the meaning of a relation and a function. This involves a study of the graphs of a function along with performing various algebraic operations on them.

Class 11 Maths Chapter 2 Relations and Functions

Topics Covered: Stating if a relation is a function, identifying different types of functions, adding, subtracting, multiplying functions, and finding the range of these functions are topics covered under Class 11 Maths NCERT Solutions.

Total Questions: Class 11 maths chapter 2 relations and functions have 36 questions. 9 are moderately complicated, 15 are easy and 12 are tough sums.

NCERT Solutions Class 11 Maths Chapter 2 Summary

NCERT solutions for class 11 maths chapter 2 gives kids an understanding of the various terms related to functions and relations such as domain, image, range, as well as teaches children certain concepts enabling them to execute algebraic operations on functions.

NCERT Solutions Class 11 Maths Chapter 3 -Trigonometric Functions

NCERT solutions for class 11 maths trigonometric functions is an important topic as it is required for higher studies. This chapter deals with the domain and range of trigonometric functions, the sum and difference of two angles within trigonometric functions , as well as the application of trigonometric identities .

Important Formulas in NCERT Solutions Class 11 Maths Chapter 3

• cos (x – y) = cos x cos y + sin x sin y
• cos ( π/2 − x ) = sin x
• cos (2π – x) = cos x
• sin (x – y) = sin x cos y – cos x sin y
• sin (– x) = – sin x
• 1 + cot 2 x = cosec 2 x
• cos 2 x + sin 2 x = 1

Class 11 Maths Chapter 3 Trigonometric Functions

Topics Covered: Finding the values of all trigonometric functions if one is given, proving if an expression is true or not based on trigonometric identities, as well as identifying the principal and general solutions of trigonometric functions are essential topics that are explained in detail in the Class 11 Maths NCERT Solutions.

Total Questions: There are 61 questions in total in the Class 11 maths chapter 3 trigonometric functions. 21 are easy identity-based sums, 12 are of an intermediate level and 28 are tough ones that require a student to apply his critical thinking skills.

NCERT Solutions Class 11 Maths Chapter 4 - Principle of Mathematical Induction

NCERT solutions for class 11 maths principle of mathematical induction gives a step-wise explanation on how to prove a certain statement for k + 1 iterations if it stands true for 1 number. It is a short yet important lesson.

Class 11 Maths Chapter 4 Principle of Mathematical Induction

Topics Covered: Class 11 Maths NCERT Solutions consist of questions that require students to use formulas to prove that a statement is true for all numbers if it satisfies the condition imposed on the number 1.

Total Questions: Class 11 maths chapter 4 principle of mathematical induction has 24 problems. 5 are simple, 13 are slightly tougher and 6 are difficult sums.

NCERT Solutions Class 11 Maths Chapter 5 - Complex Numbers and Quadratic Equations

NCERT solutions for class 11 maths complex numbers and quadratic equations educate students on the relationship between complex numbers and quadratic equations. They learn about performing various arithmetic operations on complex numbers, and how to express complex numbers in the polar form as well as the methods for solving quadratic equations that involve complex numbers. 

Important Formulas in NCERT Solutions Class 11 Maths Chapter 5

• z 1 + z 2 = (a + c) + i (b + d) where z 1 = a + ib, z 2 = c + id
• z 1 z 2 = (ac – bd) + i (ad + bc)
• Polar form of a complex number (z = x + iy) is r (cosθ + i sinθ) where r = √(x 2 + y 2 )

Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

Topics Covered: Finding the modulus and conjugate of a complex number , representing a complex number in the polar form on the argand plane, solving a quadratic equation, and analyzing the discriminant of a quadratic equation are topics falling under Class 11 Maths NCERT Solutions.

Total Questions: There are 42 sums in Class 11 maths chapter 5 complex numbers and quadratic equations. 14 are simple questions based on formulas, 17 are complex and 11 are of an intermediate level.

NCERT Solutions Class 11 Maths Chapter 6 - Linear Inequalities

NCERT solutions for class 11 maths linear inequalities shed light on the graphical meaning of the algebraic solutions to linear equations in one and two variables. Students can build their visualization skills with the help of the solutions to this chapter.

Class 11 Maths Chapter 6 Linear Inequalities

Topics Covered: Solving linear inequalities , finding the graphical solution to linear equations in two variables, and interpreting word problems so as to translate them to mathematical equations are encompassed under Class 11 Maths NCERT Solutions.

Total Questions: Class 11 maths chapter 6 linear inequalities have a pool of 65 questions. 15 are difficult word problems, 26 are medium level and 24 are simple interpretational sums. 

NCERT Solutions Class 11 Maths Chapter 6 Summary

The NCERT solutions class 11 maths chapter 6 helps students to correctly interpret the meaning of a linear equation as well as apply them to real-life problems. This enables them to derive reasonable conclusions and solve similar issues that involve the use of linear equations with efficiency.

NCERT Solutions Class 11 Maths Chapter 7 - Permutations and Combinations

NCERT solutions for class 11 maths permutations and combinations introduce students to the fundamental principle of counting. This chapter teaches them how to differentiate between permutations and combinations while dealing with several practical applications of the topic. 

Important Formulas in NCERT Solutions Class 11 Maths Chapter 7

• n P r = n! / (n - r)!
• n C r = n! / r! (n - r)!

where n is the number of things taken r at a time

Class 11 Maths Chapter 7 Permutations and Combinations

Topics Covered: Solving placement word problems based on the formulas of permutations and combinations are the topics broadly covered in Class 11 Maths NCERT Solutions. This includes permutations and combinations with non-distinct or distinct objects. 

Total Questions: Class 11 maths chapter 7 permutations and combinations has 45 exemplar sums out of which 12 are easily solvable, 19 are moderate and 14 are difficult problems that require logical thinking.

NCERT Solutions Class 11 Maths Chapter 8 - Binomial Theorem

NCERT solutions for class 11 maths binomial theorem is a concept that is required to solve and simplify several questions related to not only the aforementioned chapter but also sister topics such as probability . Thus, kids need to be well-versed with the binomial theorem and how to expand expressions using this formula. 

Class 11 Maths Chapter 8 Binomial Theorem

Topics Covered: Expanding expressions using the binomial theorem, finding a particular term, as well as pinpointing the middle term in an exponentiated expression, are topics in the Class 11 Maths NCERT Solutions. 

Total Questions: Class 11 maths chapter 8 binomial theorem includes 36 well-researched questions that are split into 14 easy, 6 medium and 16 difficult sums.

NCERT Solutions Class 11 Maths Chapter 9 - Sequences and Series

NCERT solutions for class 11 maths sequences and series give kids an insight into arithmetic and geometric progressions as well as how they are related to one another. This lesson also details a step-by-step explanation of how to work with special series.

Important Formulas in NCERT Solutions Class 11 Maths Chapter 9

• General term of an A.P: a n = a + (n – 1) d.
• General term of a G.P: a n = ar n – 1 .
• Sum of n terms in an A.P: S n = n/2 [2a + (n-1)d].
• Sum of n terms in a G.P: S n = a (1 - r n )/ 1 - r

Class 11 Maths Chapter 9 Sequences and Series

Topics Covered: Writing the terms of a given sequence, finding the sum of n terms in arithmetic and geometric progressions, using the general term to solve problems, verifying the relationship between A.P and G.P along with special series are the essential topics covered in the Class 11 Maths NCERT Solutions.

Total Questions: Class 11 maths chapter 9 Sequences and series has 106 questions which can be divided into 38 formula-based simple sums, 23 of moderate complexity, and 45 higher-order thinking problems.

NCERT Solutions Class 11 Maths Chapter 10 - Straight Lines

NCERT solutions for class 11 maths straight lines elucidates certain key geometrical concepts related to a line. These involve teaching kids about the slope of a line, the angle between two lines , collinearity of three points, the distance between two lines, along all the different forms of the equation of a line .

NCERT Solutions Class 11 Maths Chapter 10 Study Tips

NCERT solutions class 11 maths chapter 10 is an easy lesson however, it can get confusing due to the large number of formulas that kids need to learn. The following study tips can help with the learning process.

• Understanding the derivation and concept behind the formulas.
• Constant practice and solving numerous problems on the same.

Class 11 Maths Chapter 10 Straight Lines

Topics Covered: Finding the slope of a line when the coordinates of two points are given, determining the parallelism and perpendicularity of lines is included in the Class 11 Maths NCERT Solutions. Additionally, the point-slope form of the equation of a line, its two-point, slope-intercept, normal form as well as the general equation of a line are also essential parts of this chapter.

Total Questions: Class 11 maths chapter 10 straight lines has 76 fantastic problems that can be subdivided into 25 straightforward questions, 17 complicated and 34 moderately tough sums. 

NCERT Solutions Class 11 Maths Chapter 11 - Conic Sections

NCERT solutions for class 11 maths conic sections take a deeper look at several figures such as a cone , circle , hyperbola , and parabola as well as the various aspects associated with it. Kids learn about the different elements of these figures and how to accurately determine their measures.

Important Formulas in NCERT Solutions Class 11 Maths Chapter 11

• Equation of a Circle with center (h, k): (x – h) 2 + (y – k) 2 = r 2
• Equation of a Parabola: y 2 = 4ax
• Equation of an Ellipse: x 2 /a 2 + y 2 /b 2 = 1
• Equation of a Hyperbola: x 2 /a 2 - y 2 /b 2 = 1

Class 11 Maths Chapter 11 Conic Sections

Topics Covered: Class 11 Maths NCERT Solutions encapsulate topics such as finding the equation of a circle and a hyperbola given certain constraints, determining the focus, axis, and equation of a parabola, using the standard equation of an ellipse to determine the focus as well as the length of the major and minor axes.

Total Questions: The total number of questions in class 11 maths chapter 11 conic sections is 70. 21 out of these are difficult problems while 30 are easy and 19 are of a medium level.

NCERT Solutions Class 11 Maths Chapter 12 - Introduction to Three Dimensional Geometry

NCERT solutions for class 11 maths introduction to three-dimensional geometry helps children get a grasp on geometrical concepts such as the distance formula, and the section formula. It helps students get a good understanding of how to apply these formulas to effectively solve problems.

Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry

Topics Covered: Class 11 Maths NCERT Solutions has questions based on important topics such as finding the distance between two points and using the section formula to divide a line segment in a given ratio .

Total Questions: Class 11 maths chapter 12 introduction to three-dimensional geometry has 20 sums. 7 are formula-based easy problems, 8 are tough requiring kids to use their mathematical skills and 5 are intermediate. 

NCERT Solutions Class 11 Maths Chapter 13 - Limits and Derivatives

NCERT solutions for class 11 maths limits and derivatives provide students with an understanding of how derivatives and limits are related to each other. Children first learn about limits and the methods to solve them followed by finding the derivative of a function using limits.

Class 11 Maths Chapter 13 Limits and Derivatives

Topics Covered: Class 11 Maths NCERT Solutions incorporates topics such as finding the limit of a function at a point, algebra of limits, limits of trigonometric functions, using the limit formula to find the derivative of a function, and algebra of derivatives.

Total Questions: Class 11 maths chapter 13 limits and derivatives has 73 questions. 16 are of moderate complexity, 28 are fairly simple formula-based sums and 29 are demanding problems.

NCERT Solutions Class 11 Maths Chapter 13 Summary

NCERT solutions class 11 maths chapter 13 gives a bird’s eye view of the relationship between derivatives and limits as well as how to use limits in order to find the first derivative of different functions.

NCERT Solutions Class 11 Maths Chapter 14 - Mathematical Reasoning

NCERT solutions for class 11 maths mathematical reasoning help kids in harnessing and enhancing their reasoning skills. This lesson calls for students to read sentences and draw logical inferences from them.

Class 11 Maths Chapter 14 Mathematical Reasoning

Topics Covered: Class 11 Maths NCERT Solutions explain in detail topics such as compound statements, the negation, and implication of statements, how to validate statements as well as contrapositive and converse statements.

Total Questions: There are 25 problems in the Class 11 maths chapter 14 mathematical reasoning. 17 are very simple, 3 are of medium level and 5 are challenging questions.

NCERT Solutions Class 11 Maths Chapter 15 - Statistics

NCERT solutions for class 11 maths statistics detail the techniques to solve various statistical problems that center around the measures of dispersion, standard deviation , variance, frequency distribution table, and continuous or discrete frequency table.

NCERT Solutions Class 11 Maths Chapter 15 Study Tips

NCERT solutions class 1 maths chapter 15 is very important from an examination point of view. The following tips can help streamline the studying process for students.

• Revise Statistics from previous classes.
• Understand and learn the formulas.
• Practice all questions.

Class 11 Maths Chapter 15 Statistics

Topics Covered: Finding the range, mean deviation , and mean of grouped as well as ungrouped data fall under the scope of the Class 11 Maths NCERT Solutions. Apart from this other topics included are the discrete and continuous frequency table along with subtopics such as standard deviation, variance, mean deviation about the median, and analysis of the frequency distribution table.

Total Questions: Class 11 maths chapter 15 statistics has 34 questions in total. 14 are easy sums that can be solved using the formulas, 15 are intermediate and 5 are complicated higher-order thinking problems.

NCERT Solutions Class 11 Maths Chapter 16 - Probability

NCERT solutions for class 11 maths probability builds on previous classes and introduces kids to probability elements such as random experiments, outcomes, sample space, different types of events, and other associated concepts that form the backbone of this chapter.

Class 11 Maths Chapter 16 Probability

Topics Covered: Class 11 Maths NCERT Solutions gives kids a detailed elucidation of topics such as types of events, algebra of those events, complementary events, exhaustive events, axiomatic approach to probability, and probability of occurrence of an event.

Total Questions: There are 54 well-structured questions in the Class 11 maths chapter 16 probability. Out of these 21 are straightforward questions, 19 are complex, and 14 need focus as they are challenging. 

Important Formulas in NCERT Solutions Class 11 Maths

Formulas cover several expressions, axioms, and theorems that were constructed using some logical rules. They are used to describe a general relationship between two or more quantities. Thus, to attempt questions efficiently kids need to learn them. An overview of the important formulas covered in NCERT solutions for class 11 maths is given below:

Coordinate Geometry

• Distance Formula = √[(x 2 -x 1 ) 2 + (y 2 -y 1 ) 2 ]
• Slope Intercept: y = mx + c
• Parallel lines slopes: m 1 = m 2
• Distributive property: p * (q + r) = pq + pr
• Commutative property: p + q = q + p
• Additive Inverse: p + (-p) = 0

Trigonometry

• (sinx)(siny) = ½ [cos(x-y) - cos(x+y)]
• (cosx)(cosy) = ½ [cos(x-y) + cos(x+y)]

Importance of NCERT Solutions Class 11 Maths

Class 11 Maths NCERT Solutions are extremely helpful for CBSE students because it helps to build a robust foundation for all mathematical topics covered in 11th grade. Given below are a few of the advantages of the NCERT solutions:

• Exam Preparation - Students belonging to class 11 have to prepare for their home exams and competitive exams (IIT-JEE, BITS PILANI, etc.). NCERT solutions provide a step-wise implementation of all solutions that help kids understand how to write an exam so that they can get the best score possible. It also outlines the tips and tricks required to solve complex problems within seconds that are very useful for competitive exams.
• Crystal Clear Concepts - As the subject matter of classes 11 and 12 are closely related hence, kids need to ensure that they have no doubts so that they can successfully clear both the grades. The NCERT Class 11 Maths Solutions gives a brief and precise explanation of all questions enabling children to develop an in-depth knowledge of all topics.
• Revision - The NCERT solutions give students an opportunity to revise their entire syllabus quickly and efficiently. As children do not have enough time to solve all questions during examination days, they can go through these solutions and recall all the important concepts, theorems, and formulas necessary to attempt similar types of questions. Thus, during the exam, they are confident and do not feel flustered.

FAQs on NCERT Solutions for Class 11 Maths

Do i need to practice all questions provided in ncert solutions class 11 maths.

The questions provided in the NCERT solutions class 11 maths have been curated by experts to give students a holistic learning experience. Thus, it is necessary for students to practice all problems step-by-step so as to develop a strong mathematical foundation.

Why are NCERT Solutions Class 11 Maths Important?

In order to succeed in examinations, kids need a reliable source of information that can act as a guide. The NCERT solutions class 11 maths work to give students the best quality of knowledge that can be used to get a very good score thus, they are extremely important for kids.

Do I Need to Make Notes while Referring to NCERT Solutions Class 11 Maths?

Notes are the best way to recall certain pointers regarding any questions. In addition to this, they speed up the revision process during examination days. Hence, all students are advised to make notes while studying the NCERT solutions class 11 maths.

What are the Best Ways to Learn Concepts Covered in NCERT Solutions Class 11th Maths?

Understanding a topic and practicing questions on it regularly are the best ways to learn the concepts covered in NCERT solutions class 11th maths. Students can get the most out of these solutions by regularly revising the subject matter ensuring that they get good marks in their examinations.

How are NCERT Solutions Class 11 Maths Promoting Problem Solving in Students?

NCERT solutions class 11 maths employ the technique of breaking problems down into smaller packets to simplify analysis. As students start getting an idea of how to solve sums using these methods they can inevitably sharpen their problem-solving skills.

What are the Important Topics Covered in NCERT Solutions Class 11 Maths?

All topics covered in NCERT solutions class 11 maths are important as they are interlinked with the syllabus of class 12th. These topics not only make their way in the class 11 test papers but are also required to successfully attempt the class 12 board exams. Thus, students should not skip any chapter while studying.

Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 11 Maths?

As long as the method is universally recognized, the steps are constructed logically and the answer is correct a student can use any method apart from those in the NCERT solutions class 11 Maths. However, shortcuts cannot be utilized and all the problems have to be attempted with a step-wise solution.

How Many Chapters are there in Class 11 Maths NCERT Solutions?

There are a total of 16 chapters in the class 11 maths NCERT solutions that have been designed to give students a deep-seated knowledge of topics such as calculus, trigonometry, probability, statistics, etc. Kids can study these solutions and master the chapters in no time.

Why Choose Cuemath for Class 11 Maths NCERT Solutions?

Cuemath is the best online education  platform for class 11 maths NCERT solutions. The explanations of questions and the methods used to solve them have been carefully thought out by mathematical experts from IITs. The solutions are short, accurate, and easy to understanding ensuring that kids get the maximum benefit from them.

Why Should I Practice NCERT Solutions Class 11 Maths Regularly?

Practice yields perfection. If students revise the NCERT solutions class 11 maths regularly they will be well-prepared for any examination, be it school or competitive. During the test kids can breeze through the question paper without feeling stressed thus, improving their chances of giving a triumphant exam.

CBSE Sample Paper for Class 11 Maths with Solutions 2021-2022

• CBSE Sample Papers for Class 11 Maths Solved Set 1
• CBSE Sample Papers for Class 11 Maths Solved Set 2
• CBSE Sample Papers for Class 11 Maths Solved Set 3
• CBSE Sample Papers for Class 11 Maths Solved Set 4
• CBSE Sample Papers for Class 11 Maths Solved Set 5
• CBSE Sample Papers for Class 11 Maths UnSolved Set 6
• CBSE Sample Papers for Class 11 Maths UnSolved Set 7
• CBSE Sample Papers for Class 11 Maths UnSolved Set 8
• CBSE Sample Papers for Class 11 Maths UnSolved Set 9
• CBSE Sample Papers for Class 11 Maths UnSolved Set 10
• CBSE Sample Papers for Class 11 Maths UnSolved Set 11
• CBSE Sample Papers for Class 11 Maths UnSolved Set 12
• CBSE Sample Papers for Class 11 Maths UnSolved Set 13
• CBSE Sample Papers for Class 11 Maths UnSolved Set 14
• CBSE Sample Papers for Class 11 Maths UnSolved Set 15

CBSE Class 11 Maths Sample Papers

CBSE sample papers for class 11 Maths are the best resource for students to prepare for the annual exam. Solving the sample papers give students an idea on the type of questions expected in the exam. Moreover, it also provides the depth on question paper pattern and marking scheme. Students get to know the weightage of different types of questions asked under each section of Maths paper. CBSE Sample Papers helps them prepare well for the exam and thus enable them to score high marks.

Few days before the exam it is very difficult for the students to go through all the topics. This is where the sample papers are very useful. Having a look at the sample papers of class 11 Maths solved by students will help them in identifying their mistakes. Also, they will have a look at the important questions once again.

We have provided the CBSE Class 11 Maths Sample Papers in the table above. These CBSE Sample Paper for Class 11 are designed by the subjects experts by following the CBSE paper pattern. The solutions are provided in detail by covering every step so that students can easily understand the concept. Students can also get CBSE Class 11 sample paper for all subjects in the science discipline like Physics, Chemistry, and Biology. These sample papers cover all the important topics of the syllabus. Download them from the links below and practice them to score well in class 11.

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• Applied Maths
• Class 11 Applied Mathematics...

Class 11 Applied Mathematics Case Study Questions

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Finding good quality Class 11 Applied Mathematics case study questions can be quite challenging. This is because case study questions can be quite marked gaining, and hence a complete understanding of such Class 11 Applied Mathematics case study question is much needed. myCBSEguide is the only app where you’ll find ample Class 11 Applied Mathematics case study questions.

Trust us, if you’re serious about doing well in your CBSE exams, myCBSEguide is the app you need to have on your phone!

Applied Mathematics: Foundations for Class 11 students

Mathematics is already divided into two levels by CBSE: Basic (easy) and Standard (challenging, though not as difficult as Class 10). After Class 10, “Basic” is for students who do not wish to continue studying mathematics, and “Standard” is for those who want to continue

Now, the idea struck that people who don’t want to continue with math or aren’t permitted to do so with Mathematics (code 041), which covers Trigonometry, Vectors, 3D, etc., should still be given the opportunity to comprehend the practical necessity for it, therefore CBSE developed Applied Mathematics (code 241). Any skill topic has a certain job role as its focus. However, the elective course Applied Mathematics focuses on the field of Mathematics with a particular focus on its applications.

Much-needed Applied Mathematics Subject

Students who attend secondary school are better equipped to choose their career opportunities when they graduate. A crucial subject that aids students in selecting their career paths in mathematics. In higher education, mathematics is frequently employed as a supplementary topic in the fields of economics, commerce, social sciences, and many others. According to observations, students who want to study Commerce or Social Science in college may not be able to use the senior secondary mathematics curriculum designed for science topics. With this in mind, the mathematics curriculum for senior secondary classes is expanded to include an additional elective subject with the goal of giving pupils useful math training outside of the physical sciences.

Relevance of Class 11 Applied Mathematics Case Study Questions

• To understand the importance of data in modern society, case studies based on data from the fields of business, economics, psychology, education, biology, and census data will be used.
• Class 11 Applied Mathematics Case Study Questions also strengthen logical thinking abilities such as developing and verifying mathematical arguments, framing instances, and identifying counter examples.
• It motivates Class 11 Applied Mathematics students to do mathematical research and to forge linkages between mathematical concepts and other academic fields.
• Class 11 Applied Mathematics students will gain a solid grasp of descriptive and inferential statistics through the Class 11 Applied Mathematics case study questions, which they may then use to describe, evaluate, and draw conclusions from a given set of data.

Illustrations of Class 11 applied mathematics case study questions

The use of mathematical techniques to solve issues in the actual world is known as applied mathematics. A student’s capacity to apply mathematical ideas to situations that occur in the real world is evaluated using Class 11 applied mathematics case study questions

Below are some illustrations of applied mathematics case study problems for class 11

Class 11 applied mathematics case study question 1

Read the Case study given below and attempt any 4 subparts: A farmer, Ramgarh,  took a bank loan from SBI for repairing his house. But he could not pay the amount on time. This resulted in the accumulation of interest and the amount to pay reached Rs.1,00,000. After a few months, the farmer opened a shop that resulted in enough income and the income increased on a regular basis. So he decided to pay the bank loan in a different manner. The farmer visited the bank. He made an agreement with the bank that he will start paying the amount of Rs.1,00,000 without interest from Jan 2020. In January he will pay Rs.5000 and will increase the payment by Rs. 100 in each month, as shown in the figure.

Answer Key:

Class 11 applied mathematics case study question 2

Read the Case study given below and attempt any 4 sub parts: In a colony, as shown in the following picture, an electric pole has been installed. The pole has been tied by strong wire PQ to support this pole, some electricians were working on the staircase PS.

In the left and right side of the pole, two street lights are fixed at a height of 3m and 4m respectively. These lights are given supply by wires PM and PN. The height OP=5 m and O is the origin. Now answer the following questions:

• x + 15y = -75
• x – 15y + 75 = 0
• x + 5y = 50
• x – 5y = 20
• (b) x – 15y + 75 = 0

Class 11 applied mathematics case study question 3

• (b) 900 ways
• (c) 648 ways
• (d) 100 ways
• (a) 252 ways

Class 11 applied mathematics case study question 4

Read the Case study given below and attempt any 4 sub parts: villages of Shanu and Arun’s are 50km apart and are situated on Delhi Agra highway as shown in the following picture. Another highway YY’ crosses Agra Delhi highway at O(0,0). A small local road PQ crosses both the highways at pints A and B such that OA=10 km and OB =12 km. Also, the villages of Barun and Jeetu are on the smaller high way YY’. Barun’s village B is 12km from O and that of Jeetu is 15 km from O.

Now answer the following questions:

• 5x + 6y = 60
• 6x + 5y = 60
• (a) (10, 0)
• (b) 6x + 5y = 60
• (b) 60/√ 61 km
• (d) 2√61 km

Class 11 applied mathematics case study questions presented here are based on real-life applications of ideas learned in Class 11. These questions will assist students to understand how case study questions will be asked in papers. The questions are intended to assess the student’s comprehension of the principles as well as their ability to apply them to realistic conditions.

What students will study in Class 11 Applied Mathematics?

Students in Class 11 Applied Mathematics will study a number of topics. Topics in Class 11 Applied Mathematics are significant for students who want to career in mathematics or a related discipline. Students will build critical problem-solving abilities in their future studies and professions by studying Class 11 Applied mathematics themes.

CBSE Class 11 Applied Mathematics (Code No. 241)

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CBSE 11th Standard Maths Subject Sets HOT Questions 2 Mark Questions With Solution 2021

By QB365 on 29 May, 2021

QB365 Provides the HOT Question Papers for Class 11 Maths, and also provide the detail solution for each and every HOT Questions. HOT Questions will help to get more idea about question pattern in every exams and also will help to get more marks in Exams

QB365 - Question Bank Software

11th Standard CBSE

Final Semester - June 2015

Mathematics

If f: R  \(\rightarrow\)   R be defined as follows \(f(x)=\begin{cases} 1,\quad \quad x\quad \in \quad Q \\ -1,\quad x\quad \notin \quad Q \end{cases}\) Find   \(f\left( \frac { 1 }{ 2 } \right) ,f\left( \pi \right) \)

Show that n {P [P (P (  \(\phi\)  ))]}=4

Let  B be a subset of an A and let P(A: B) = { X  \(\in\)  P(A): X  \(\supset\)  B}. If A = (1,2,3,4} and B ={1,2}. List all the members of the set P(A :B).

Let A = {1,2,3,4}, B= {1,2,3} and c= (2,4). Find all sets X satisfying each pair of conditions. X   \(\subseteq\)  B and X   \(\nsubseteq\) C

Let A = {1,2,3,4}, B= {1,2,3} and c= (2,4). Find all sets X satisfying each pair of conditions X  \(\subseteq\)  B, X  \(\neq\) B and X  \(\nsubseteq\)  C

*****************************************

Cbse 11th standard maths subject sets hot questions 2 mark questions with solution 2021 answer keys.

The value of the function for every rational number is 1 and for every irrational number is -1. \(\therefore \quad \frac { 1 }{ 2 } \in Q\Rightarrow f\left( \frac { 1 }{ 2 } \right) =1\) \(and \quad \pi \notin Q\Rightarrow f\left( \pi \right) =-1\)

We have, P (  \(\phi\)  )={ \(\phi\)  } \(\therefore\)   P (P( \(\phi\) ))={ \(\phi\)  ,{ \(\phi\)  }} \(\Rightarrow\)  P[P(P \(\phi\)  ))]={ \(\phi\)  },{ \(\phi\)  },{{ \(\phi\) }},{ \(\phi\)  ,{ \(\phi\)  }}} Hence, number of elements in P [P(P ( \(\phi\)  ))] is 4 i.e. n {P [P(P ( \(\phi\) ))]}=4

here, A ={1,2,3,4} ,B={1,2} Now,P(A:B)= set of all subsets of A which contain B ={{1,2},{1,2,3},{1,2,4},{1,2,3,4}

Given A={1,2,3,4}, B = {1,2,3} And C={2,4} Now, P(A)={  \(\phi\) , {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}}  ......(i) P(B) ={ \(\phi\) {1},{2},{3},{1,2},{1,3},{1,3},{2,3},{1,2,3}}    ....(ii) and P(c) ={ \(\phi\) ),{2},{4},{2,4}}     ...(iii) Given condion is X  \(\subseteq\)  P(B) and X   \(\nsubseteq\) C. \(\Rightarrow\)   X  \(\in\)  P(B) and X  \(\in\)  P(c) \(\therefore\)  X= {1},{3},{1,2},{1,3},{2,3} [using the equation (ii) and (iii)]

Given A={1,2,3,4}, B = {1,2,3} And C={2,4} Now, P(A)={   \(\phi\) , {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}}  ......(i) P(B) ={ \(\phi\) {1},{2},{3},{1,2},{1,3},{1,3},{2,3},{1,2,3}}    ....(ii) and P(c) ={ \(\phi\) ),{2},{4},{2,4}}  ...(iii) Given conditions is X  \(\subseteq\)  B and X \(\neq\)  B and X \(\nsubseteq\)  C.. \(\Rightarrow\)  X  \(\in\)  P(B), X  \(\neq\)  B and X  \(\in\)  P(c) \(\therefore\)  X ={1},{3},{1,2},{1,3},{2,3} [using eqs (ii) and (iii)]

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CBSE Class 11th Maths Value Based Questions PDF Download

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CBSE Class 11th Maths Value Based Questions are the easiest questions which you see in your question paper and the scoring one all student who attempt it surely get they are just little bit difficult and examine your basic knowledge regarding the particular chapter. Maths Value Based Questions for Class 11th are available here at Free of cost. These questions are expected to be asked in the Class 11th board examination. These Maths Value Based Questions are from complete CBSE Syllabus.

CBSE Class 11th Maths Value Based Questions

Most of these Maths Value Based Questions are quite easy and students need only a basic knowledge of the chapter to answer these questions. Download CBSE Maths Value Based Questions for board examinations. These Maths Value Based Questions are prepared by Directorate of Education, Delhi.

CBSE Maths Value Based Questions Class 11th PDF

The purpose of the Maths Value Based Questions is to make students aware of how basic values are needed in the analysis of different situations and how students require to recognize those values in their daily lives. Some questions are subject related. But even if they are not, that one-minute awareness of what we write about value without any specific preparation is a good step indeed.

CBSE Maths Value Based Questions for Class 11th download here in PDF format. The most CBSE Maths Value Based Questions for annual examination are given here for free of cost. The additional questions for practice the Class 11th exam are collected from various sources. It covers questions asked in previous year examinations.

CBSE Maths Value Based Questions for Class 11th Free PDF

Class 11th books have many questions. These questions are regularly asked in exams in one or other way. Practising such most CBSE Maths Value Based Questions certainly help students to obtain good marks in the examinations. 

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Case Study Questions for Class 11 Maths Chapter 1 Sets

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[PDF] Download Case Study Questions for Class 11 Maths Chapter 1 Sets

Here we are providing case study questions for class 11 maths. In this article, we are sharing Class 11 Maths Chapter 1 Sets case study questions. All case study questions of class 11 maths are solved so that students can check their solutions after attempting questions.

What is meant by Case Study Question?

In the context of CBSE (Central Board of Secondary Education), a case study question is a type of question that requires students to analyze a given scenario or situation and apply their knowledge and skills to solve a problem or answer a question related to the case study.

Case study questions typically involve a real-world situation that requires students to identify the problem or issue, analyze the relevant information, and apply their understanding of the relevant concepts to propose a solution or answer a question. These questions may involve multiple steps and require students to think critically, apply their problem-solving skills, and communicate their reasoning effectively.

Importance of Solving Case Study Questions for Class 11 Maths

Case study questions are an important aspect of mathematics education at the Class 11 level. These questions require students to apply their knowledge and skills to real-world scenarios, helping them develop critical thinking, problem-solving, and analytical skills. Here are some reasons why case study questions are important in Class 11 maths education:

• Real-world application: Case study questions allow students to see how the concepts they are learning in mathematics can be applied in real-life situations. This helps students understand the relevance and importance of mathematics in their daily lives.
• Higher-order thinking: Case study questions require students to think critically, analyze data, and make connections between different concepts. This helps develop higher-order thinking skills, which are essential for success in both academics and real-life situations.
• Collaborative learning: Case study questions often require students to work in groups, which promotes collaborative learning and helps students develop communication and teamwork skills.
• Problem-solving skills: Case study questions require students to apply their knowledge and skills to solve complex problems. This helps develop problem-solving skills, which are essential in many careers and in everyday life.
• Exam preparation: Case study questions are included in exams and tests, so practicing them can help students prepare for these assessments.

Overall, case study questions are an important component of Class 11 mathematics education, as they help students develop critical thinking, problem-solving, and analytical skills, which are essential for success in both academics and real-life situations.

Feature of Case Study Questions on This Website

Here are some features of a Class 11 Maths Case Study Questions Booklet:

Many Case Study Questions: This website contains many case study questions, each with a unique scenario and problem statement.

Different types of problems: The booklet includes different types of problems, such as optimization problems, application problems, and interpretation problems, to test students’ understanding of various mathematical concepts and their ability to apply them to real-world situations.

Multiple-choice questions: Questions contains multiple-choice questions to assess students’ knowledge, understanding, and critical thinking skills.

Focus on problem-solving skills: The questions are designed to test students’ problem-solving skills, requiring them to identify the problem, select appropriate mathematical tools, and analyze and interpret the results.

Emphasis on practical applications: The case studies in the booklet focus on practical applications of mathematical concepts, allowing students to develop an understanding of how mathematics is used in real-life situations.

Comprehensive answer key: The booklet includes a comprehensive answer key that provides detailed explanations and step-by-step solutions for all the questions, helping students to understand the concepts and methods used to solve each problem.

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