These Class 11 Maths Chapter 2 MCQ With Answers of mathematics are essential for the preparation for your impending examinations. These Class 11 Maths Chapter 2 MCQ With Answers will help you in cracking your exams like JEE Main and Advanced. The MCQs on this post will surely pave your path toward success.

## Class 11 Maths Chapter 2 MCQ With Answers

1. Let A = {1, 2, 3,4, 5,6,7,8,9} and R is relation defined on Set A as R ={(1,2),(2,4),(3,6),(4,8)}. The which one is false

(A) Range of R is {2,4,6,8}

(B) Co domain of R is {1, 2, 3,4, 5,6,7,8,9}

(C) None of these

(D) Domain of R is {1,2,3,4}

**Answer:** None of these

2. if f is a function such that f(0) =2 ,f(1) =3 and f(x+2) = 2f(x) -f(x+1) for every real x, then f(5) is

(A) 6

(B) 5

(C) 13

(D) 1

**Answer:** 13

3. if ƒ(x)=x^{3}-1/x^{3} then f(x) + f(1/x) is

(A) 1

(B) 1/x^{3}

(C) x^{3}

(D) 0

**Answer:** 0

4. The domain of the function F(x) =log_{x-4}(x-11x+24)

(A) (-∞, 8)

(B) (8, ∞)

(C) (-1, ∞)

(D) [8, ∞)

**Answer:** (8, ∞)

5. If ƒ=[x]^{2}+[x]+2, then which of them is incorrect then which of them is incorrect

(A) f(0) =3

(B) f(-.50)=2

(C) f(1)=4

(D) f(.75)=2

**Answer:** f(0) =3

6. The domain of the real valued function

ƒ(x)=x-5/x-6

(A) R – {-5}

(B) R – {5}

(C) R – {-6}

(D) R –{6}

**Answer:** R –{6}

7. The value {-.95} where {.} is the fractional part is

(A) .95

(B) .-05

(C) -.95

(D) .05

**Answer:** .05

8. Let f(x)=|x−1| +|x−3|+|x−4|, which one of the below is incorrect

(A) f(0)=7

(B) f(1) =4

(C) f(3.5)=3.5

(D) f(5)=7

**Answer:** f(0)=7

9. Let R be the relation on the set N of natural numbers defined by

R={(a,b): a + 3b=12 , a ∈ N ,b ∈ N}

(A) R= {(9,1},(6,2),(3,3)}

(B) Range of R = {1,2,3}

(C) Domain of R ={9,6,3}

(D) 1

**Answer:** None of these

10. The value of x and y if (x – y, x + y) = (8, 10)

(A) 9,1

(B) 8,2

(C) 1,9

(D) 2,8

**Answer:** 9,1

11. The domain of the function f given by ƒ(x)=x^{2}+2x+1/x^{2}+5x+6

(A) R – (3, – 2)

(B) R – {–3, 2}

(C) R – {-3, – 2}

(D) R – [3, 2]

**Answer:** R – {-3, – 2}

12. Let A = {1, 2, 3} and B = {5, 7}. Then possible number of relation from A to B ?

(A) 256

(B) 64

(C) 16

(D) 32

**Answer:** 64

13. If f (x) = ax + b, where a and b are integers, f (–1) = – 5 and f (3) = 3, then a and b are equal to

(A) a = 0, b = 2

(B) a = 2, b = 3

(C) a = 2, b = – 3

(D) a = – 3, b = –1

**Answer:** a = 2, b = – 3

14. The domain of the definition of the real function f(x) = √(log12 x2 ) of the real variable x is

(A) x > 0

(B) |x| ≥ 1

(C) |x| > 4

(D) x ≥ 4

**Answer:** |x| ≥ 1

15. The number of binary operations on the set {1, 2} are

(A) 8

(B) 10

(C) 16

(D) 20

**Answer:** 16

16. A function f(x) is said to be an odd function if

(A) f(-x) = f(x)

(B) f(-x) = -f(x)

(C) f(-x) = k * f(x) where k is a constant

(D) None of these

**Answer:** f(-x) = -f(x)

17. The domain of modulus function f(x) = |x| is

(A) R

(B) R – {0}

(C) (0, ∞)

(D) None of these

**Answer:** R

18. Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is

(A) 1

(B) 2

(C) 3

(D) 4

**Answer:** 1

19. The function f(x) = sin (πx/2) + 2cos (πx/3) – tan (πx/4) is periodic with period

(A) 4

(B) 6

(C) 8

(D) 12

**Answer:** 12

20. The function f(x) = |cos x| is periodic with period

(A) π

(B) π/2

(C) π/3

(D) 2π

**Answer:** π