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If x=X cos theta-Y sin theta, y=X sin t...

If `x=X cos theta-Y sin theta, y=X sin theta+Y cos theta` and `ax^(2)+2bxy+cy^(2)=AX^(2)+2HXY+BY^(2)`, then

A

`H=O` If `theta=0`

B

`H=b` if `theta=pi//2`

C

`A+B=a+c`

D

`H=c-a` if `theta=pi//4`

Text Solution

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The correct Answer is:
c
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