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Let 0 lt=thetalt=pi/2 and x=X cos theta+...

Let `0 lt=thetalt=pi/2 and x=X cos theta+Y sin theta, y=X sin theta-Y cos theta` such that `x^2+2xy+y^2=aX^2+bY^2,` where a and b are constant, then

A

`a=-1, b=-3`

B

`theta=pi/2`

C

`a=2, b=0`

D

`theta=pi/3`

Text Solution

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The correct Answer is:
C
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