Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5, 7, 9}. Which of the following is(are) relation from X to y ?

Options:

$R_1=\{(x,y)|y=2+x,x,y∈Y|\}$

$R_2=\{(1,1),(2,1),(3,3),(4,3),(5,5)\}$

$R_3=\{(1,1),(1,3),(3,5),(3,7),(5,7)\}$

$R_4=\{(1,3),(2,5),(2,4),(7,9)\}$

Correct Answer:

$R_2=\{(1,1),(2,1),(3,3),(4,3),(5,5)\}$

Explanation:

$R_1$ (Not a relation) from X → Y

as $x,y∈y$ and $x∉ X$

$R_3$ (Not a relation)

as (1, 1) and (1, 3) $∈R_3$

two image of one preimage not allowed

$R_4$ is not a relation from X to Y

as $(7, 9)∉ X$