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a tangent to ellipse x^2/a^2+y^2/b^2=1 cut the ellipse x^2/c^2+y^2/d^2=1 at P and Q. If tangent to the ellipse at Pand Q intersect at right angle. Then prove that a^2/c^2+b^2/d^2=1.

a tangent to ellipse x^2/a^2+y^2/b^2=1 cut the ellipse x^2/c^2+y^2/d^2=1 at P and Q. If tangent to the ellipse at Pand Q intersect at right angle. Then prove that a^2/c^2+b^2/d^2=1.

Grade:11

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