Let R be a relation defined on N as aRb if 2a+3b is a multiple of 5,a,b N. Then R is

(C) symmetric but not transitive

(D) transitive but not symmetric

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Evening shift · Q5389

JEE Main 202329 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let R be a relation defined on

\mathbb{N}

a\mathrm{R}b

2a+3b

is a multiple of

5,a,b\in \mathbb{N}

. Then R is

JEE Main 2023 · 29 Jan, Evening shift · Q5389

JEE Main 202329 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let R be a relation defined on

\mathbb{N}

a\mathrm{R}b

2a+3b

is a multiple of

5,a,b\in \mathbb{N}

. Then R is