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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?

6 years ago


Answers : (1)

										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

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6 years ago

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