Question

If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x=y^2}. Find range of the relation.

(a) {1,4,9}

(b) {-1,1, -2,2, -3,3}

(c) {1,4,8,9}

(d) {-1,1, -2,2, -3,3,5}

I have been asked this question in a job interview.

The doubt is from Relations topic in section Relations and Functions of Mathematics – Class 11

Answer 1

Right option is (b) {-1,1, -2,2, -3,3}

For explanation: Range is the set of elements of codomain which have their preimage in domain.

Relation R = {(1,1), (1, -1), (4,2), (4, -2), (9,3), (9, -3)}.

Range = {-1,1, -2,2, -3,3}.