Find the point on the ellipse

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Find the point on the ellipse 16x2+11y2=25616x^2 + 11y^2 = 256 , where the common tangent to it and the circle x2+y2−2x=15x^2 + y^2 - 2x = 15 touch.

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