If SY and S'Y' be drawn perpendiculars from foci to any tangent to a hyperbola

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

Problem

If SY and S'Y' be drawn perpendiculars from foci to any tangent to a hyperbola. Prove that Y and Y' lie on the auxiliary circle and that product of these perpendiculars is constant.

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