Maths. Section B1Relations and Functions

For real numbers x and y the relations R is defined as R= (x, y) : x…

For real numbers x and y the relations R is defined as R= {(x, y) : x + y - $\pi $ is an irrational number }, then the relation R is

Answer & explanation

Correct answer: option 2

The correct answer is Option (2) → symmetric

$R= \{(x, y) : x + y - \pi\}$

$xRy=x + y - \pi ∈ \text{Irrational Number}$

$⇒x + y - \pi ∈ \text{Irrational Number}$

$∴yRx$ is a relation.

∴ This is symmetric relation.