﻿ Engineering Entrance Exam Question and Answers | Relations and Functions - Zigya

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Relations and Functions

Multiple Choice Questions

91.

• (- 1, 4)

• (1, 7)

92.

If a, b and n are natural numbers, then a2n - 1  + b2n - 1 is divisible by

• a + b

• a - b

• a3 + b3

• a2 + b2

93.

• - 1

• 1

• 0

• 2

94.

• x

• xn

• p1/n

• p - xn

95.

Let Q be the set of all rational numbers in [0, 1]and f: [0, 1] $\to$ [0,1] be defined by

• - Q

• (0, 1)

96.

• $\frac{25}{3}$

• $\frac{111}{25}$

• $\frac{9}{25}$

• $\frac{25}{111}$

97.

98.

• 2r

• r +2R

• 2r +R

• 2(r + R)

99.

If f is defined in [1, 3] by f(x) = x3 + bx2 + ax,such that f(1) - f(3) = 0 and f'(c) = 0, where c = 2 + $\frac{1}{\sqrt{3}}$, then (a, b) is equal to

• ( - 6, 11)

• (11, - 6)

• (6, 11)

100.

The domain of the function f(x) =