If The Axes Are Turned Through 450. Find The Transformed From The Equation                           3x2 + 3y2 + 2xy = 2

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If the axes are turned through 450. Find the transformed from the equation

                          3x2 + 3y2 + 2xy = 2


Correct option is

2x2 + y2 = 1


Replacing (x, y) by 


Then 3x2 + 3y2 + 2xy = 2 becomes


⇒                                       3(2x2 + 2y2) + 2(x2 – y2) = 4

⇒                                                               8x2 + 4y2 = 4

⇒                                                                 2x2 + y2 = 1

Which is free from the term containing xy.



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