Mathematics

Mathematics

Problem

Statement I Feet of perpendiculars drawn from foci of an ellipse 4x2+y2=164x^2 + y^2 = 16 on the line 23x+y=82\sqrt{3}x + y = 8 lie on the circle x2+y2=16x^2 + y^2 = 16. Statement II If perpendiculars are drawn from foci of an ellipse to its any tangent, the feet of these perpendiculars lie on director circle of the ellipse.

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