Straight lines JEE

Geometry Level 2

Given the equation 4x2+23xy+2y2=14x^2+2\sqrt{3}xy+2y^2=1.
Through what angles θ[0,π]\theta \in [0,\pi] should the axes be rotated so that the term xyxy is removed from the transformed equation?

Give the answer as the sum of all values of θ\theta(in degrees).

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