Relations and Functions Test

Result

Relations and Functions Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The relation R defined on set A = {1, 2, 3, 4, 5} by R = {(x, y) : |x² – y²| < 16} is given by

A
R₁ = {(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)}

B
R₂ = {(2, 2), (3, 2), (4, 2), (2, 4)}

C
R₃ = {(3, 3), (4, 3), (5, 4), (3, 4)}

D
None of these
Question 2
1 / -0

Let A = {1, 2, 3}. The total no. of distinct relations which can be defined over A is

A
6

B
8

C
2⁹

D
None of these
Question 3
1 / -0

The range of the function f(x) = |x - 1| is

A
(- ∞, ∞)

B
(0, ∞)

C
[0, ∞)

D
(- ∞, 0)
Question 4
1 / -0

The number of relations that can be defined on set A = {a, b, c, d} is

A
24

B
16

C
4⁴

D
2¹⁶