Let A=\1,2,3,4 and R be a relation on the set A × A defined by R=\((a, b),(c, d)): 2 a+3 b=4 c+5 d. Then the number of elements in R is _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 15 Apr, Morning shift · Q49

JEE Main 202315 Apr, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

A=\{1,2,3,4\}

and

\mathrm{R}

be a relation on the set

A \times A

defined by

R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}

. Then the number of elements in

\mathrm{R}

is ____________.

Your answerType your answer. Integers and decimals are accepted.