Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Supp... VIDEO
Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Suppose perpendiculars from \( A, B, C \) to the major axis of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1,(ab) \) meets the ellipse respectively at \( P, Q, R \) so that \( P, Q, R \) lie on the same side of the major axis as \( A, B, C \) respectively. Prove that, the normals to the ellipse drawn at the points \( P, Q \) and \( R \) are concurrent.
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