Sets, Relations and Functions Test

Result

Sets, Relations and Functions Test - 46

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Weekly Quiz Competition

Question 1
4 / -1

Which of the following relation is one-one

A
R₁ = {(x,y) / x¹ + y² = 1, x, y ϵ R}

B
R₂ = {(x, y) / y = e^x² / x, y ϵ R}

C
R₃ = {(x,y) / y = x² - 3x + 3, x, y ϵ R}

D
None of these
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

If A = {(x,y) / x² + y² = 25} and B {(x,y) / x² + 9y² = 144 } then A ∩ B contains

A
two points

B
one points

C
three points

D
four points

Solution
Question 5
4 / -1

If A and B are two sets then B - (B - A) =....

A
(A - B) - B

B
A - (A - B)

C
A

D
B

Solution
Question 6
4 / -1

For two events A and B which of the following is simple expression of (A ∩ B) ∪ (A ∩ B\') ∪ (A\' ∩ B) ?

A
A ∩ B

B
A ∪ B

C
A' ∩ B'

D
A ∩ B'

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

Which of the following is the empty set ?

A
{x : x is a real number and x² – 1 = 0}

B
{x : x is a real number and x² + 1 = 0}

C
{x : x is a real number and x² – 9 = 0}

D
{x : x is a real number and x³ = x + 2}

Solution
Question 9
4 / -1

The set A = {x : x ϵ R, x² = 16 and 2x = 6} equals

A
Ø

B
{14, 3, 4}

C
{3}

D
{4}

Solution
Question 10
4 / -1

If set of A has n elements, then the total number of subsets of A is

A
n

B
n²

C
2ⁿ

D
2n

Solution