Let A = { − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 } and R be a relation on A defined by x R y if and only if 2 x − y ∈ { 0 , 1 } . Let l be the number of elements in R. Let m and n be the minimum number of el

Question

Let A = { − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 } and R be a relation on A defined by x R y if and only if 2 x − y ∈ { 0 , 1 } . Let l be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then l + mn is equal to :-

TestHub · Accepted Answer

​ 2 x − y = 0 { 0 , 0 } { − 1 , − 2 } { 1 , 2 } 2 x − y = 1 ​ { 0 , − 1 } { 1 , 1 } { 2 , 3 } { − 1 , − 3 } Total ( 0 , 0 ) ( − 1 , − 2 ) , ( 1 , 2 ) ( 0 , − 1 ) , ( 1 , 1 ) ( 2 , 3 ) ( − 1 , − 3 ) Reflexive m = 5 & ℓ = 7 Symm. n = 5 ℓ + m + n = 17 option (2) ​

Mathematics - SET AND RELATION Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main (2026)