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x=sinthetacosthetaand y =sintheta+costhe...

`x=sinthetacosthetaand y =sintheta+costheta` are satisfied by which one of the following equations ?

A

`y^(2)-2x=1`

B

`y^(2)+2x=1`

C

`y^(2)-2x=-1`

D

`y^(2)+2x=-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Given , `x=sinthetacosthetaandy=sintheta+costheta`
`thereforey^(2)-2x=(sintheta+costheta)^(2)-2sinthetacostheta`
`=sin^(2)theta+cos^(2)theta+2sinthetacostheta-2sinthetacostheta=1`
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