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Prove that locus of points of intersection of tangents to ellipse x 2 /a 2 + y 2 /b 2 = 1 drawn at the extremities of a normal chord is a 6 /x 2 + b 6 /y 2 = (a 2 -b 2 ) 2 .

Prove that locus of points of intersection of tangents to ellipse x2/a2 + y2/b2 = 1 drawn at the extremities of a normal chord is a6/x2 + b6/y2= (a2-b2).

Grade:12th pass

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