Relations and Functions Test

Result

Relations and Functions Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

A relation R on a non-empty set A is an equivalence relation, if it is

A
reflexive

B
symmetric

C
transitive

D
All of these
Question 2
1 / -0

In the relation R : A → B, where A = {1, 2, 3, 4, 5} and B = {u, v, x, y, z} is a function, R is given by

A
{(1, u) (2, v) (3, v) , (4, y)}

B
{(1, y ) (1, u) (2, x) (3, y) (4, z)}

C
{(1, u) (2, x) (2, y) (3, z) (4, v) (5, u)}

D
{(1, u) (2, v) (3, x) (4, z), (5, y)}
Question 3
1 / -0

If f : R is defined by f(x) = x² - 6x - 14,then f^-1(2) is equal to

A
{2, 8}

B
{- 2, 8}

C
{- 2, - 8}

D
{2, - 8}
Question 4
1 / -0

Number of relation that can be defined on a set A = (a, b, c, d) is

A
24

B
16

C
4⁴

D
2¹⁶
Question 5
1 / -0

If f : R →R is given by f(x) = x² - 3, then f ^-¹ is given b

A
√x+3

B
√x+3

C
x+√3

D
None of these
Question 6
1 / -0

The domain of definition of the function y(x) given by the equation 2^x + 2^y = 2 is

A
0 < x ≤1

B
0 ≤ x ≤ 1

C
- ∞ < x ≤ 0

D
- ∞< x < 1

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Re-Attempt Weekly Quiz Competition

Relations and Functions Test - 3

Result

Relations and Functions Test - 3

Score

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Rank

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SHARING IS CARING

Question 1

reflexive

symmetric

transitive

All of these

Question 2

{(1, u) (2, v) (3, v) , (4, y)}

{(1, y ) (1, u) (2, x) (3, y) (4, z)}

{(1, u) (2, x) (2, y) (3, z) (4, v) (5, u)}

{(1, u) (2, v) (3, x) (4, z), (5, y)}

Question 3

{2, 8}

{- 2, 8}

{- 2, - 8}

{2, - 8}

Question 4

24

16

44

216

Question 5

√x+3

√x+3

x+√3

None of these

Question 6

0 < x ≤1

0 ≤ x ≤ 1

- ∞ < x ≤ 0

- ∞< x < 1

User

Question Analysis

My Perfomance

Score

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Rank

-

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4⁴

2¹⁶