Let `A={p , q , r , s}\ a n d\ B={1,2,3}dot` Which of the following relations from A to B is not function?
(i) `R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)}`
(ii) `R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)}`
(iii) `R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)}`
(iv) `R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}`

Options

A. `R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)}`
B. `R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)}`
C. `R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)}`
D. `R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}`

Answer

C

Explanation

`because` x - coordinates of two brackets are same.