On the set of positive integers

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

\mathbb{N}

, a relation

R

is defined by

aRb\iff

there exists

k\in\mathbb{N}

such that

b=k\,a

. Which properties does

R

satisfy? (a) Reflexive and symmetric only (b) Reflexive, symmetric and transitive (c) Reflexive and transitive only (d) Symmetric and transitive only