Square Diagonals Equations (Jee Mains)

Equations of a Line

Medium

Square Diagonals Equations

Let a be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle α with the positive x-axis and the equations of its diagonals are $\left( {\sqrt 3 + 1} \right)$ x + $\left( {\sqrt 3 - 1} \right)$ y = 0 and $\left( {\sqrt 3 - 1} \right)x - \left( {\sqrt 3 + 1} \right)y + 8\sqrt 3 = 0$ . Then a² is equal to

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