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If R={(x,y),x in W,y in W and (X+2y)^(2)...

If `R={(x,y),x in W,y in W` and `(X+2y)^(2)=36)`, then `R^(-1)` is_____
(a) {(0,3),(2,,2),(1,4),(0,6)}
(b) {(0,6),(0,3),(2,2),(4,1)}
(c) {(3,0),(2,2),(1,4),(0,6)}
(d) {(3,0),(2,2),(1,4),(6,0)}

Text Solution

Verified by Experts

Given `(X+2y)^(2)=36` and `(x,y)in W`.
`rArr x+2y=6`.
`therefore` The possible values of `(x,y)` are (0,3),(2,2),(4,1),(6,0)
`rArr R={0,3),(2,2),(4,1),(6,0)}`
`therefore R^(-1)={(3,0),(2,2),(1,4),(0,6)}`
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