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if the polar with respect to y ^=4x touches the ellipse X^/A^+Y^/B^=1 THEN LOCUS OF ITS POLE IS?

if the polar with respect to y ^=4x touches the  ellipse X^/A^+Y^/B^=1 THEN LOCUS OF ITS POLE IS?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago
Dear manisha let the pole is (h,k) equation of polar w.r.t y^2 =4x is yk =2(x+h) or y =2x/k + 2h/k ..........1 this equation is the tangent of given ellipse so (2h/k)^2 = A^2 (2/k)^2 + B^2 4h^2 = 4A^2 +(BK)^2 Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Askiitians Experts Badiuddin

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