Q .     The transformed equation of `3x^2 + 3y^2 + 2xy = 2`. when the coordinate axes are rotated through an angle of `45°`, is

BITSAT 2008
A

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

B

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

C

`2x^2 + y^2 = 0`

D

`2x^2 + y^2 = 2`

HINT

Since, the axes are rotated through an angle `45^o`, then we replace `(x, y)` by `(x cos 45^o – y sin 45^o, x sin 45^o + y cos 45^o)`

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