The locus of the point of intersection of two perpendicular tangents of the ellipse is

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The locus of the point of intersection of two perpendicular tangents of the ellipse x29+y24=1\frac{x^2}{9} + \frac{y^2}{4} = 1 is (1) x2+y2=4x^2 + y^2 = 4 (2) x2+y2=9x^2 + y^2 = 9 (3) x2+y2=13x^2 + y^2 = 13 (4) x2+y2=5x^2 + y^2 = 5

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