Let A=\2,3,6,8,9,11 and B=\1,4,5,10,15. Let R be a relation on A × B defined by (a, b) R(c, d) if and only if 3 a d-7 b c is an even integer. Then the relation R is

(C) reflexive and symmetric but not transitive.

(A) reflexive but not symmetric.

(D) transitive but not symmetric.

Sets, Relations and Functions: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Evening shift · Q5396

JEE Main 20248 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

A=\{2,3,6,8,9,11\}

and

B=\{1,4,5,10,15\}

. Let

R

be a relation on

A \times B

defined by

(a, b) R(c, d)

if and only if

3 a d-7 b c

is an even integer. Then the relation

R