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Let 0 leq theta leq (pi)/(2) and x=X cos...

Let `0 leq theta leq (pi)/(2)` and `x=X cos theta+Y sin theta` `y=X sin theta-Y cos theta` such that `x^(2)+4 x y+y^(2)=a X^(2)+b Y^(2)` where `a, b` are constants, then

A

`a=-1, b=3, theta=(pi)/(4)`

B

`a=1, b=-3, theta=(pi)/(3)`

C

`a=3, b=-1, theta=(pi)/(4)`

D

`a=3, b=-1, theta=(pi)/(3)`

Text Solution

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The correct Answer is:
C
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