EllipseHard
Question
The point of intersection of the tangents at the point P on the ellipse 
= 1, and its corresponding point Q on the auxiliary circle meet on the line -
= 1, and its corresponding point Q on the auxiliary circle meet on the line -Options
A.x = a/e
B.x = 0
C.y = 0
D.none
Solution
Equation of tangent at P
= 1 ... (i)Equation of tangent at Q
xcos θ + ysin θ = a
⇒
sin q = 1 ... (ii)(i) - (ii)
y sin θ
= 0⇒ y = 0 [ sinθ ≠ 0 ; a ≠ b ]
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