JEE Advanced 2013 Mathematics question
A vertical line passing through the point (h, 0) intersects the ellipse at the points P and Q. Let the tangents to the ellipse at P and Q meet at the point R. If Δ(h) = area of the triangle PQR, and , then
Answer: 9
Solution
P, Q = with . By symmetry R lies on the x-axis, on the tangent at y = 0: . Area \dfrac$4h - h) =
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