Relations and Functions Test

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Relations and Functions Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Let R be the relation defined on the set N of national numbers by the rule xRy iff x+2y = 8, then domain of R is

A
{2,4,8}

B
{2,4,6}

C
{2,4,6,8}

D
{1,2,3,4} .
Question 2
1 / -0

Let f (x) = ax + b for all x ∈ R, where a, b ∈ R and a ≠ 0, then f^-1 (x)

A
is given by 1/ax+b

B
is given by (x-b)/a

C
dose not exist as ƒ is not onto

D
dose not exist as ƒ is not one-one
Question 3
1 / -0

The number of surjections can be defined from A{1, 2, 3, 4, 5} onto B{a, b, c} is

A
90

B
150

C
243

D
None of these
Question 4
1 / -0

The period of the function f(x) = sin² x is

A
2π

B
π

C
2π/3

D
none of these
Question 5
1 / -0

The range of the function f(x) = |x - 3| is

A
R

B
(0, ∞)

C
(-∞, 0)

D
None of these
Question 6
1 / -0

Let A and B be finite sets containing m and n elements respectively. The number of relations that can be defined from A to B is

A
mn

B
2^mn

C
2^m+n

D
none of these
Question 7
1 / -0

Let ƒ : N → N be defined by the rule f (x) = 2x + 1 for all x ∈ N, then f is

A
one - one

B
onto

C
both one-one and onto

D
none of these .
Question 8
1 / -0

The period of the function f(x) = sin(2πx/3) + cos(2πx/3)

A
10

B
11

C
12

D
none of these
Question 9
1 / -0

let A = {1,2,3} . Which of the following functions on A is invertible ?

A
f = {(1,1),(2,1),(3,1)}

B
f = {(1,2),(2,3),(3,1)}

C
f = {(1,1),(2,3),(3,2)}

D
f = {(1,1),(2,2),(3,1)}
Question 10
1 / -0

Let A = {1,2,3}. Which of the following is not an equivalence relation on A ?

A
{(1,1),(2,2)(3,3)}

B
{(1,1),(2,2),(3,3),(1,2),(2,1)}

C
{(1,1),(2,2),(3,3),(2,3),(3,2)}

D
none of these

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Relations and Functions Test - 2

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Relations and Functions Test - 2

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Question 1

{2,4,8}

{2,4,6}

{2,4,6,8}

{1,2,3,4} .

Question 2

is given by 1/ax+b

is given by (x-b)/a

dose not exist as ƒ is not onto

dose not exist as ƒ is not one-one

Question 3

​​​​​​90

150

243

None of these

Question 4

2π

π

2π/3

none of these

Question 5

R

(0, ∞)

(-∞, 0)

None of these

Question 6

mn

2mn

2m+n

none of these

Question 7

one - one

onto

both one-one and onto

none of these .

Question 8

10

11

12

none of these

Question 9

f = {(1,1),(2,1),(3,1)}

f = {(1,2),(2,3),(3,1)}

f = {(1,1),(2,3),(3,2)}

f = {(1,1),(2,2),(3,1)}

Question 10

{(1,1),(2,2)(3,3)}

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

none of these

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90

2^mn

2^m+n