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NCERT Solutions for class 11 Maths | Chapter 2 - Relations and Functions

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Free download in PDF Class 11 Maths Chapter 2 Relations and Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Chemistry with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>

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(1) 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
(2) The number of binary operations on the set {1, 2} are
[A] 8
[B] 10
[C] 16
[D] 20
Answer: 16

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(3) 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)
(4) The domain of modulus function f(x) = |x| is
[A] R
[B] R - {0}
[C] (0, ∞)
[D] None of these
Answer: R
(5) 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
(6) 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
(7) The function f(x) = |cos x| is periodic with period
[A] π
[B] π/2
[C] π/3
[D] 2π
Answer: π
(8) The function sin[log{x + √(x2 + 1)}] is a/an
[A] Even function
[B] Odd function
[C] Either even or odd function
[D] Neither even nor odd function
Answer: Odd function
(9) The values of b and c for which the identity f(x + 1) - f(x) = 8x + 3 is satisfied where f(x) = bx2 + cx + d, are
[A] 4, 1
[B] 4, -1
[C] 2, 4
[D] -2, 4
Answer: 4, -1
(10) The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period
[A] 4
[B] 6
[C] 12
[D] 24
Answer: 4
(11) The domain for which the functions defined by f (x) =3x2-1 and g(x)=3+x are equal is
[A] {-1, 4/3}
[B] (-1, 4/3)
[C] [-1, 4/3]
[D] (-1, 4/3]
Answer: {-1, 4/3}
(12) Let f and g be two functions given by

f = {(2, 4), (5, 6), (8, – 1), (10, – 3)}

g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, – 5)}

then. Domain of f + g is

[A] {2,8,10}
[B] {2,10,11}
[C] {2, 5,10}
[D] {2,7,8}
Answer: {2,8,10}
(13) Let P ={1,2,3,4} and Q={11,12,13,14}. Relation are defined from P to Q as R:P-> Q

Which of the following relations is functions?

[A] R ={(1,11),(2,12),(3,13),(4,14)}
[B] R ={(1,11),(1,11),(3,11), (4,11),(4,14)}
[C] R ={(1,11),(2,12),(3,13)}
[D] R ={(1,11),(2,11),(3,11), (3,12)}
Answer: R ={(1,11),(2,12),(3,13),(4,14)}
(14) The value {-.95} where {.} is the fractional part is
[A] .95
[B] .-05
[C] -.95
[D] .05
Answer: .05
(15) 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
(16) 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
(17) 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
(18) The domain of the function f given by ƒ(x)=x2+2x+1/x2+5x+6
[A] R – (3, – 2)
[B] R – {–3, 2}
[C] R – {-3, – 2}
[D] R – [3, 2]
Answer: R – {-3, – 2}
(19) 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
(20) 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

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