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Let ABC be an equilateral triangle inscr...

Let ABC be an equilateral triangle inscribed in the circle `x^2+y^2=a^2` . Suppose pendiculars from A, B, C to the ellipse `x^2/a^2+y^2/b^2=1,(a > b)` meets the ellipse respectivelily at P, Q, R so that P, Q , R lies on same side of major axis as A, B, C respectively. Prove that the normals to the ellipse drawn at the points P Q nad R are concurrent.

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