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If R={(x,y)//x in W,y in W,(2x +y)^(2)=4...

If `R={(x,y)//x in W,y in W,(2x +y)^(2)=49}`, then `R^(-1)` is_____

A

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

B

{(7,0),(5,1),(3,2),(1,3)}

C

{(7,0),(1,5),(2,3),(1,3)}

D

{(0,7),(5,1),(3,2),(1,3)}

Text Solution

Verified by Experts

The correct Answer is:
B
Given `(2x+y)^(2)=49` and `(x,y)in W`.
`rArr 2x+y=7`
`therefore ` The possible values of (x,y) are (0,7),(1,5), (3,1) and (2,3) `rArrR=`{(0,7),(1,5),(2,3),(3,1)}.
`thereforeR^(-1)={(7,0),(6,1),(3,2),(1,3)}`.
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