Consider the ellipse

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Consider the ellipse x2tan⁡2α+y2sec⁡2α=1\frac{x^2}{\tan^2 \alpha} + \frac{y^2}{\sec^2 \alpha} = 1 , where α∈(0,π/2)\alpha \in (0, \pi/2) : Which of the following quantities would vary as α\alpha varies? (1) degree of flatness (2) ordinate of the vertex (3) coordinate of the foci (4) length of latusrectum

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