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

^{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. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**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**