MCQ On Class 11 Maths Chapter 2 Relations and Functions

(1) If f(x) is an odd differentiable function on R, then df(x)/dx is a/an

[A] Even function

[B] Odd function

[C] Either even or odd function

[D] Neither even nor odd function

Answer: Even function

(2) If f(x) = log3 x and A = (3, 27) then f(A) =

[A] (1, 1)

[B] (3, 3)

[C] (1, 3)

[D] (2, 3)

Answer: (1, 3)

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(3) If f(x) = (a – x)1/n, a > 0 and n ∈ N, then the value of f(f(x)) is

[A] 1/x

[B] x

[C] x²

[D] x1/2

Answer: x

(4) 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)

(5) If f(x) = ex and g(x) = loge x then the value of fog(1) is

[A] 0

[B] 1

[C] -1

[D] None of these

Answer: 0

(6) The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period

[A] 4

[B] 6

[C] 12

[D] 24

Answer: 4

(7) 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: 2x² + 1

(8) 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: {-7, -5, -3}

(9) The period of the function f(x) = sin4 3x + cos4 3x is

[A] π/2

[B] π/3

[C] π/4

[D] π/6

Answer: π/6

(10) If f is an even function and g is an odd function the fog is a/an

[A] Even function

[B] Odd function

[C] Either even or odd function

[D] Neither even nor odd function

Answer: Even function

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

[A] f(1) =4

[B] f(3.5)=3.5

[C] f(5)=7

[D] f(0)=7

Answer: f(0)=7

(12) Range of the function defined as F(x)=x-2/3-x

[A] R –{2}

[B] R –{3}

[C] R –{1}

[D] R – {-1}

Answer: R – {-1}

(13) if Set A = {1,2,3,4,5} and Set B is {1,4,5} and Relation R is defined as less than, the R can be written in ordered pair as

[A] {(1,4),(1,5), (2,4), (2,5),(3,4),(3,5) ,(4,5)}

[B] {(1,4), (2,4), (2,5),(3,4),(3,5) ,(4,5)}

[C] {(1,4),(5,1), (2,4), (2,5),(3,4),(3,5) ,(4,5)}

[D] {(1,4),(1,5), (2,4), (2,5),(3,4),(3,5) ,(4,5),(5,5)}

Answer: {(1,4),(1,5), (2,4), (2,5),(3,4),(3,5) ,(4,5)}

(14) The range of the function defined as f(x)=|x-5|/x-5

[A] (-1, 1)

[B] [-1,1]

[C] {-1,1}

[D] {5, -5}

Answer: {-1,1}

(15) 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

(16) 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

(17) if ƒ(x)=x³-1/x³ then f(x) + f(1/x) is

[A] 1

[B] 1/x³

[C] x³

[D] 0

Answer: 0

(18) The domain of the function F(x) =log_x-4(x-11x+24)

[A] (-∞, 8)

[B] (8, ∞)

[C] (-1, ∞)

[D] [8, ∞)

Answer: (8, ∞)

(19) 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

(20) 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}

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