The transformed equation of x^(2) + y^(2...

The transformed equation of `x^(2) + y^(2) =r^(2)` when the axes are rotated through an angle `36^(@)` is

A

`sqrt(5)X^(2)-4XY+Y^(2)=r^(2)`

B

`X^(2)+2XY-sqrt(5)Y^(2)=r^(2)`

C

`X^(2)-Y^(2)=r^(2)`

D

`X^(2)+Y^(2)=r^(2)`

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The correct Answer is:

D

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