**MCQs Questions for Class 11 Maths Chapter 2 Relations and Functions**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **15** **MCQs questions for class 11 maths chapter 2 relations and functions**.

**MCQs Questions for Class 11
Maths Chapter 2 Relations and Functions**

**1.** If f(x) = e^{x} and
g(x) = log_{e} x, then the value of fog(1) is

(a) 0

(b) 1

(c) -1

(d) None of these

**Answer: b**

**2.** A relation R is defined from the set of
integers to the set of real numbers as (x, y) = R. If x² + y² = 16, then the
domain of R is

(a) (0, 4, 4)

(b) (0, -4, 4)

(c) (0, -4, -4)

(d) None of these

**Answer: b**

**3.** If (a, b) = (x, y),
then______

(a) a = x

(b) a = y

(c) a = y and b = x

(d) a=x and b=y

**Answer: d**

**4.** Two functions f and g are
said to be equal, if f

(a) the domain of f = the domain of g

(b) the co-domain of f = the co-domain of g

(c) f(x) = g(x) for all x

(d) all of above

**Answer: d**

## 5. If the function f : R → R be given by f(x) = x² + 2 and g
: R → R is given by g(x) = x/(x – 1), then the value of gof(x) is

(a) (x² + 2)/(x² + 1)

(b) x²/(x² + 1)

(c) x²/(x² + 2)

(d) none of these

**Answer: a**

**6.** If A X B = {(1, a), (1, b),
(1, c), (2, a), (2, b), (2, c)}, then find set A.

(a) {1}

(b) {1, 2}

(c) {1, a}

(d) {a, b, c}

**Answer: b**

**7.** The domain of tan^{-1} (2x
+ 1) is

(a) R

(b) R - {1/2}

(c) R - {-1/2}

(d) None of these

**Answer: a**

## 8. If A = {-2, -1, 0} and f(x) = 2x – 3, then the range of f
is

(a) {7, -5, -3}

(b) {-7, 5, -3}

(c) {-7, -5, 3}

(d) {-7, -5, -3}

**Answer: d**

**9.** Let A = {1, 2, 3, 4, 5} and
R be a relation from A to A, R = {(x, y): y = x + 1}. Find the domain.

(a) {1, 2, 3, 4, 5}

(b) {2, 3, 4, 5}

(c) {1, 2, 3, 4}

(d) {1, 2, 3, 4, 5, 6}

**Answer: a**

**10.** If f(x) = (3x – 2)/(2x – 3),
then the value of f(f(x)) is

(a) x

(b) x²

(c) x³

(d) None of these

**Answer: a**

**11.**
If A = {1, 4, 8, 9} and B = {1, 2, -1, -2,
-3, 3, 5} and R is a relation from set A to set B {(x, y): x = y^{2}}, then find the codomain of the relation.

(a) {1, 4, 9}

(b) {-1, 1, -2, 2, -3, 3}

(c) {1, 4, 8, 9}

(d) {-1, 1, -2, 2, -3, 3, 5}

**Answer: d**

**12.**
Let R be the set of real numbers. If f(x) = x²
and g(x) = 2x + 1, then fog(x) is equal to

(a) 2x + 1

(b) 2x² + 1

(c) (2x + 1)²

(d) None of these

**Answer: b**

**13.**
Which of the following is not a function?

(a) {(1, 2), (2, 4), (3, 6)}

(b) {(-1, 1), (-2, 4), (2, 4)}

(c) {(1, 2), (1, 4), (2, 5), (3, 8)}

(d) {(1, 1), (2, 2), (3, 3)}

**Answer: c**

**14.**
Let A = {-2, -1, 0} and f(x) = 2x – 3, then the
range of f is

(a) {7, -5, -3}

(b) {-7, 5, -3}

(c) {-7, -5, 3}

(d) {-7, -5, -3}

**Answer: d**

**15.**
The domain of function |x| is

(a) Set of real numbers

(b) Set of positive real numbers

(c) Set of integers

(d) Set of natural numbers

**Answer: a**