NCERT Exemplar for Class 11 Maths (Book Solutions)

1. These Class 11 exemplar solutions are designed by student matter experts, with the aim to prove the best sort of guidance that the student requires.

2. The exercises present in these solutions are accompanied by extensive solutions, so that the student is never lost in his/her path of learning.

3. The language used is extremely simple and easy to comprehend. This will help the student to retain all the concepts with confidence and precision.

4. These solutions prepare the student in such a way that they are confident to answer any question that may be asked in the examination. 

1. NCERT Class 11 Maths Exemplar Solutions Chapter 1 - Sets 

This chapter deals with the diverse concepts involving sets, representation of sets, types of sets, intervals as subsets of R, intersections of sets, difference of sets, etc and solving these with the help of the Venn Diagram. All these topics are of prime importance and are solved in the Exemplar solutions individually and with great detail. 

2. NCERT Class 11 Maths Exemplar Solutions Chapter 2 - Relations And Functions

This chapter deals with the pair of elements linking from the two pairs and thereby, proceeds to introduce the relationship that exists between these two elements in the pair.  The questions are solved with the aid of the cartesian products of sets, graph representations, along with the insight on the concepts dealing with the algebra of real functions, meaning and definition of identity functions, rational function, constant function, modulus function, signum function etc. 

3. NCERT Exemplar Class 11 Maths Exemplar Solutions  Chapter 3 – Trigonometric Functions

This chapter presents topics that indulge with trigonometric functions, the relationship between degree and radian, domain and range of trigonometric functions, sine, cosine, and tangent of some angles less than 90°, allied or related angles, functions of negative angles, some formulae regarding compound angles, trigonometric equations, angles measured in degrees and radians and general solution of trigonometric equations. The exercises for this chapter present detailed solutions incorporating all the above-mentioned topics. 

4. NCERT Exemplar Class 11 Maths exemplar solutions  Chapter 4 – Principle of Mathematical Induction

This chapter relies on and puts forth the principle of Mathematical induction and motivation.

5. NCERT Exemplar Class 11 Maths Exemplar solutions  Chapter 5 – Complex Numbers and Quadratic Equations

Chapter 5 revolves around the concepts that are associated with complex numbers, imaginary numbers, integral power of ‘i’, and the operations performed on them like multiplication, division, addition, and subtraction.

6. NCERT Exemplar Class 11 Maths Exemplar solutions  Chapter 6 – Linear Inequalities

Exemplar questions for this chapter present forth the concepts on inequalities, solution of an inequality, representation of the solution of a linear inequality in one variable on a number line, algebraic representations,  graphical representations of linear inequalities in one variable and two variables etc.

7. NCERT Exemplar Class 11 Exemplar solutions  Maths Chapter 7 – Permutations and Combinations

Here, these solutions help the students in solving example problems dealing with permutations, factorial notations for both combinations and permutations, multiplication principle (Fundamental Principle of Counting), and addition principle.

8. NCERT Exemplar Class 11 Maths  Exemplar solutions Chapter 8 – Binomial Theorem

The  Binomial theorem concepts for r positive integral indices, binomial coefficient, general and middle terms is the crust of this chapter.

9. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 9 – Sequence and Series

In this chapter, one gains an in-depth understanding about the sequence and series concepts in Mathematics.

10. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 10 – Straight Lines

This chapter deals with the different concepts that are related to the straight lines

11. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 11 – Conic Sections

Conic sections encompass topics dealing with the sections of the conic section, sections of a cone, and also about the circle, parabola, hyperbola and ellipse.

12. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 12 – Introduction to Three Dimensional Geometry

This chapter provides the solutions for Coordinate axis and coordinate planes in three dimensions, coordinate of a point in space, a sign of coordinates of a point, distance formula to help in finding the distance between two points in space.

13. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 13 – Limits and Derivatives

In this particular section, one deals with the ideas based on limits, limits of a function, properties of limits, limits of polynomials and rational functions, derivatives, and algebra of derivatives of functions.

14. NCERT Exemplar Class 11 Maths Exemplar solutions  Chapter 14 – Mathematical Reasoning

This chapter is the path to learning about Mathematical reasoning based on statements formation from old to the new one, Negation, and validation of statements and concepts of Quantifiers, Implications, contrapositive, and converse, etc.

15. NCERT Exemplar Class 11 Maths Exemplar solutions  Chapter 15 – Statistics

This chapter is the hub to many competitive examinations and therefore the exemplars for this chapter deals with the concepts based on range, finding mean deviation, variance deviation, standard deviation, and also related to frequency distributions.

16. NCERT Exemplar Class 11 Maths Exemplar solutions Chapter 16 – Probability

The concepts of random experiments performed and the outcomes obtained are explained with great precision and dedication in this chapter.

Class 11 Maths NCERT Exemplar Solutions

The chapters covered within the syllabus are Sets, sequence and serials, Trigonometric functions, three-dimensional geometry, relations and functions, binomial geometry, probability and many more. All the solutions of these chapters are available on Vedantu’s site and can be accessed easily. Exemplar solutions Class 11 Maths are provided by NCERT textbooks that are prescribed by CBSE board. 

So, all the students studying under this board have the best solution materials here. Students who have chosen science and commerce as their streams can benefit from these solutions. All the Maths exemplar Class 11 solutions have been arranged in a proper way. Students can refer to these solutions and prepare themselves for their upcoming exams. 

1. NCERT Class 11 Maths Exemplar Solutions: Question 1

Let the variable A = (1, 2, 3, 4, 5, 6)

Insert the right symbols for ∉ or ∈ in the following blank spaces:

(i) 5…A (ii) 8…A  (iii) 0…A

(iv) 4…A (v) 2…A (vi) 10…A

Solution:

(i) 5 ∈ A

(ii) 8 ∉ A

(iii) 0 ∉ A

(iv) 4 ∈ A

(v) 2 ∈ A

(vi) 10 ∉ A

2. NCERT exemplar solutions for Class 11 Maths: Question 2 

 If, (x/3 + 1, y - 2/3) = (5/3, 1/3) Find the values of x and y.

In NCERT exemplar Class 11 Maths solutions, you will find-

Given,

(x/3 + 1, y - 2/3) = (5/3, 1/3)

We can see that the ordered pairs are equal.

Hence, the corresponding elements will also be equal.

Thus,

x/3 + 1 = 5/3 and y – 2/3 = 1/3

Solving, we get

3y – 2 = 1 and x + 3 = 5

DerivingL.C.Mandthenadding

DerivingL.C.Mandthenadding

x = 2 and 3y = 3

Therefore,

x = 2 and y = 1

3. NCERT Exemplar Maths Class 11 Solutions: Question 3

A wheel makes 360 revolutions in one minute. In one second, how many radians does it run through?

As you refer to the solution of NCERT exemplar Maths Class 11, you are presented with the following:

It is given that, the number of revolutions made by the wheel in -

1 minute = 360

1 second = 360/60 = 6

We know that,

While completing one revolution, the wheel turns 2π radian angle. 

In 6 revolutions, it will turn 6 × 2π radian i.e. 12 π radian

Therefore, the wheel turns at a 12π radian angle in one second. 

4. Maths NCERT Exemplar Solutions Class 11: Question 4

 i9 + i19

As given in Maths Class 11 exemplar solutions 

i9 + i19 = (i2)4. i + (i2)9. i

= (-1)4 . i + (-1)9 .i

= 1 x i + -1 x i

= i – i

= 0

Hence,

i9 + i19 = 0 + i0

5. Class 11 NCERT Exemplar Maths Solutions: Question 5

an = 2n

 As given in NCERT Maths exemplar Class 11 solutions, 

Given nth term, an = 2n

Let us substitute the value of n = 1, 2, 3, 4, 5 

a1 = 21 = 2

a2 = 22 = 4

a3 = 23 = 8

a4 = 24 = 16

a5 = 25 = 32

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