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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) 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) =logx-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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