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The point of intersection of the tangents at the point `P` on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and its corresponding point `Q` on the auxiliary circle meet on the line `x=a/e` (b) `x=0` `y=0` (d) none of these

A

x=a/e

B

x=0

C

y=0

D

none of these

Text Solution

Verified by Experts


Tangent to the ellipse at point `P(a cos theta, a sin theta)` is `(x)/(a)cos thea+(y)/(b) sin theta=1" (1)`
Tangent (1) and (2) intersect at `(a//cos theta, 0)` which lies on y=0
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