# Class 11 Mathematics Relations and Functions MCQs

Refer to Class 11 Mathematics Relations and Functions MCQs provided below. CBSE Class 11 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 11 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 2 Relations and Functions are an important part of exams for Class 11 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

## MCQ for Class 11 Mathematics Chapter 2 Relations and Functions

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 2 Relations and Functions in Class 11. These MCQ questions with answers for Class 11 Mathematics will come in exams and help you to score good marks

### Chapter 2 Relations and Functions MCQ Questions Class 11 Mathematics with Answers

Question. Domain of √a2-x2(a > 0) is
(a) (– a, a)
(b) [– a, a]
(c) [0, a]
(d) (– a, 0]

Question. If A is the null set and B is an infinite set, then what is A×B ?
(a) Infinite set
(b) f
(c) Undefined
(d) A singleton set

Question. The domain and range of the real function f defied by f(x) = 4-x /x-4 is given by
(a) Domain = R, Range = {–1, 1}
(b) Domain = R – {1}, Range = R
(c) Domain = R – {4}, Range = {–1}
(d) Domain = R – {– 4}, Range = {–1, 1}

Question. If A = {1, 2, 3}, B = {1, 2} and C = {2, 3}, which one of the following is correct ?
(a) (A´B)Ç(B´A) = (A´C)Ç(B´C)
(b) (A´B)Ç(B´A) = (C´A)Ç(C´B)
(c) (A´B)È(B´A) = (A´B)È(B´C)
(d) (A´B)È(B´A) = (A´B)È(A´C)

Question. If f (x) = x3-1/x3 , then f (x) +f(1/x) is equal to
(a) 2 x3
(b) 2. 1/x3
(c) 0
(d) 1

Question. Consider the following statements :
(i) If n (A) = p and n (B) = q then n (A × B) = pq
(ii) A × f = f
(iii) In general, A × B ¹ B × A
Which of the above statements are true ?
(a) only (i)
(b) only (ii)
(c) only (iii)
(d) All the above

Question. If A × B = { (5, 5), (5, 6), (5, 7), (8, 6), (8, 7), (8, 5)},then the value A.
(a) {5}
(b) {8}
(c) {5, 8}
(d) {5, 6, 7, 8}

Question. Let y2 = 4ax, a ¹ 0 , Now consider the following statements:
(1) y = 2 ax expresses y as a function of x
(2) y = – 2 ax expresses y as a function of x
(3) y = ± 2 ax expresses y as a function of x
Which of these is/are correct ?
(a) 1 and 2
(b) 1 and 3
(c) 2 and 3
(d) 3 only

Question. Let n(A) = m, and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is
(a) mn
(b) nm – 1
(c) mn – 1
(d) 2mn – 1

Question. If aN = {ax : x Î N} and bN Ç cN = dN, where b, c Î N are relatively prime, then
(a) d = bc
(b) c = bd
(c) b = cd
(d) None

Question. Let R = {(2, 3), (3, 4)} be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in R so that enlarged relation becomes an equivalence relation is :
(a) 3
(b) 5
(c) 7
(d) 9

Question. If the domain of the function f(x) = x2 – 6x + 7 is (– ∞, ∞), then the range of function is:
(a) [– 2, ∞)
(b) (– ∞, ∞)
(c) (– 2, + 1)
(d) (– ∞, – 2)

Question. Which of the following relation is a function ?
(a) {(a, b) (b, e) (c, e) (b, x)}
(b) {(a, d) (a, m) (b, e) (a, b)}
(c) {(a, d) (b, e) (c, d) (e, x)}
(d) {(a, d) (b, m) (b, y) (d, x)}

Question. If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7,then the number of relations from A to B is
(a) 29
(b) 92
(c) 32
(d) 29 – 1

Question. The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}is given
(a) {(1, 4), (2, 5), (3, 6),.....}
(b) {(4, 1), (5, 2), (6, 3),.....}
(c) {(1, 3), (2, 6), (3, 9),.....}
(d) none of these

Question. The range of the function f(x) = 7- xx-3 is
(a) {1, 2, 3, 4, 5}
(b) {1, 2, 3, 4, 5,6}
(c) {1, 2, 3, 4,}
(d) {1, 2, 3,}

Question. The range of the function
f(x) = √(x -1)(3 - x) is :
(a) [– 1, 1]
(b) (– 1, 1)
(c) (– 3, 3)
(d) (– 3, 1)

Question. If f (x) = 3x4 – 5x2 + 9, then value of f (x – 1) is
(a) 3x4 + 12x3 + 13x2 + 2x + 7
(b) 3x4 – 12x3 – 13x2 – 2x – 7
(c) 3x4 – 12x3 + 13x2 – 2x + 7
(d) 3x4 – 12x3 – 13x2 + 2x + 7

Question. If f(x) = (x – 1) (x – 3)(x – 4)(x – 6) + 19 for all real value of x is
(a) positive
(b) negative
(c) zero
(d) none of these

Question. If f : R ® R is defined by f(x) = 3x + | x | , then f(2x) – f (– x) – 6x =
(a) f(x)
(b) 2f(x)
(c) – f(x)
(d) f(– x)

Question. Let R be a relation in the set of real numbers defined as a R b iff | a – b | ≥ 1/2 . Then the relation R is:
(a) an equivalence relation
(b) reflexive and symmetric but not transitive
(c) symmetric and transitive but not reflexive
(d) symmetric but neither reflexive nor transitive

Question. If P, Q and R are subsets of a set A, then R × (PC È QC)C equals.
(a) (R´ P)Ç(R´Q)
(b) (R´Q)Ç(R´ P)
(c) (R´ P)È(R´Q)
(d) None of these

Question. If g(x) = 1 +√x and f [g (x)] = 3 + 2√x + x , then
f(x) =
(a) 1 + 2x2
(b) 2 + x2
(c) 1 + x
(d) 2 + x

Question. If f(x) = 2x + 2-x/2  , then f(x + y). f(x – y) =
(a) 1/2 [f(2x) + f (2y)]
(b) 1/4[f (2x) f (2y)]
(c) 1/2[f (2x) f (2y)]
(d) 1/4[f (2x) f (2y)]

Question. If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function described by the formula, g (x) = a x + b then what values should be assigned to a and b ?
(a) a = 1, b = 1
(b) a = 2, b = – 1
(c) a = 1, b = – 2
(d) a = – 2, b = – 1

Question. The range of the function f (x) = 7–xPx–3 is :
(a) {1, 2, 3, 4}
(b) {1, 2, 3, 4, 5}
(c) {1, 2, 3}
(d) {1, 2, 3, 4, 5, 6}

Question. Domain of the function
f (x) =√( 2 - 2x - x2) is :
(a) - √3 ≤ x ≤ + √3
(b) -1- √3 ≤ x ≤ -1+ √3
(c) -2 ≤ x ≤ 2
(d) -2 + √3 ≤ x ≤-2 -√3

Question. f (x) = √(x 1) (x 3) /(x 2) = is a real valued function in the domain
(a) (-∞, -1] ∪ [3,∞)
(b) (-∞, -1] ∪ (2,3]
(c) [-1, 2) ∪ [3, ∞)
(d) none of these

Question. Total number of equivalence relations defined in the set S = {a, b, c } is :
(a) 5
(b) 3!
(c) 23
(d) 33

Question. For the following relation
R = {(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (2, 0), (1, 0),
(0, 2), (0, 1)}
(a) domain = {0, 1}
(b) range = {0, 1, 2}
(c) both correct
(d) none of these

Question. Which one of the following is the domain of the relation R defined on the set N of natural numbers as R = {(m, n): 2m + 3n = 30 m , nÎN}?
(a) {2, 4, 6, 8}
(b) {3, 7, 11, 15}
(c) {3, 6, 9, 12}
(d) {3, 6, 9, 12, 15}

 Class 11 Mathematics Set Theory MCQs
 Class 11 Mathematics Relations and Functions MCQs
 Class 11 Mathematics Trigonometric Functions MCQs
 Class 11 Mathematics Principle of Mathematical Induction Functions MCQs
 Class 11 Mathematics Complex Numbers and Quadratic Equation MCQs
 Class 11 Mathematics Linear Inequalities MCQs
 Class 11 Mathematics Permutations and Combinations MCQs
 Class 11 Mathematics Binomial Theorem MCQs
 Class 11 Mathematics Sequences and Series MCQs
 Class 11 Mathematics Straight Lines MCQs
 Class 11 Mathematics Conic Sections MCQs
 Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs
 Class 11 Mathematics Limits And Derivatives MCQs
 Class 11 Mathematics Mathematical Reasoning MCQs
 Class 11 Mathematics Statistics MCQs
 Class 11 Mathematics Probability MCQs

## More Study Material

### CBSE Class 11 Mathematics Chapter 2 Relations and Functions MCQs

We hope students liked the above MCQs for Chapter 2 Relations and Functions designed as per the latest syllabus for Class 11 Mathematics released by CBSE. Students of Class 11 should download the Multiple Choice Questions and Answers in Pdf format and practice the questions and solutions given in above Class 11 Mathematics MCQs Questions on daily basis. All latest MCQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 11 students to get all latest study material free of cost.

### MCQs for Mathematics CBSE Class 11 Chapter 2 Relations and Functions

Expert teachers of studiestoday have referred to NCERT book for Class 11 Mathematics to develop the Mathematics Class 11 MCQs. If you download MCQs with answers for the above chapter daily, you will get higher and better marks in Class 11 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all MCQs for Class 11 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the MCQs which have been developed as per latest course books also refer to the NCERT solutions for Class 11 Mathematics designed by our teachers

#### Chapter 2 Relations and Functions MCQs Mathematics CBSE Class 11

All MCQs given above for Class 11 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 11 can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 11 Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Class 11 Mathematics students have been given on studiestoday.

#### Chapter 2 Relations and Functions CBSE Class 11 MCQs Mathematics

Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 2 Relations and Functions concepts. MCQs play an important role in developing understanding of Chapter 2 Relations and Functions in CBSE Class 11. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Class 11 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 11 Mathematics MCQ Test for the same chapter

#### CBSE MCQs Mathematics Class 11 Chapter 2 Relations and Functions

CBSE Class 11 Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Chapter 2 Relations and Functions and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Class 11 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE MCQs for Class 11 Mathematics Chapter 2 Relations and Functions

You can download the CBSE MCQs for Class 11 Mathematics Chapter 2 Relations and Functions for latest session from StudiesToday.com

Can I download the MCQs of Chapter 2 Relations and Functions Class 11 Mathematics in Pdf

Yes, you can click on the links above and download topic wise MCQs Questions PDFs for Chapter 2 Relations and Functions Class 11 for Mathematics

Are the Class 11 Mathematics Chapter 2 Relations and Functions MCQs available for the latest session

Yes, the MCQs issued by CBSE for Class 11 Mathematics Chapter 2 Relations and Functions have been made available here for latest academic session

How can I download the Chapter 2 Relations and Functions Class 11 Mathematics MCQs

You can easily access the links above and download the Chapter 2 Relations and Functions Class 11 MCQs Mathematics for each topic

Is there any charge for the MCQs with answers for Class 11 Mathematics Chapter 2 Relations and Functions

There is no charge for the MCQs and their answers for Class 11 CBSE Mathematics Chapter 2 Relations and Functions you can download everything free

How can I improve my MCQs in Class 11 Mathematics Chapter 2 Relations and Functions

Regular revision of MCQs given on studiestoday for Class 11 subject Mathematics Chapter 2 Relations and Functions can help you to score better marks in exams

What are MCQs for Class 11 Mathematics Chapter 2 Relations and Functions

Multiple Choice Questions (MCQs) for Chapter 2 Relations and Functions Class 11 Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.