JEE Advanced 2024 Mathematics question
Consider the ellipse . Let be a point in the first quadrant such that . Two tangents are drawn from to the ellipse, of which one meets the ellipse at one end point of the minor axis and the other meets the ellipse at a point in the fourth quadrant. Let be the vertex of the ellipse with positive -coordinate and be the center of the ellipse. If the area of the triangle is , then which of the following options is correct?
Answer: (A)
Solution
S is in the first quadrant, so the tangent through an end of the minor axis is (at ), giving . : area (fourth quadrant), and then
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