Let A=\2,3,6,7 and B=\4,5,6,8. Let R be a relation defined on A × B by (a₁, b₁) R(a₂, b₂) if and only if a₁+a₂=b₁+b₂. Then the number of elements in R is _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2024 Mathematics question

JEE Main 2024 · 9 Apr, Morning shift · Q43

JEE Main 20249 Apr, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

A=\{2,3,6,7\}

and

B=\{4,5,6,8\}

. Let

R

be a relation defined on

A \times B

(a_1, b_1) R(a_2, b_2)

if and only if

a_1+a_2=b_1+b_2

. Then the number of elements in

R

is __________.

Your answerType your answer. Integers and decimals are accepted.