Let A = {1, 2, 3, ......., 45} and R be the relation 'is square of' in A. Which of the following is false?
Answer & explanation
Correct answer: option 4
We have (1)2 = 1, (2)2 = 4, (3)2 = 9, (4)2 = 16, (5)2 = 25, (6)2 = 36
∴ R = {(1, 1), (4, 2), (9, 3), (16, 4), (25, 5), (36, 6)}
Domain of R = {x ; (x, y) ∈ R} = {1, 4, 9, 16, 25, 36}
Range of R = {y ; (x, y) ∈ R} = {1, 2, 3, 4, 5, 6}
Hence (4) is the correct answer.