JEE Advanced 2024 Paper 1

Consider the ellipse ‌

x2

9

+‌

y2

4

=1. Let S(p,q) be a point in the first quadrant such that ‌

p2

9

+‌

q2

4

>1. Two tangents are drawn from S 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 T in the fourth quadrant. Let R be the vertex of the ellipse with positive x-coordinate and O be the center of the ellipse. If the area of the triangle △ORT is ‌

3

2

, then which of the following options is correct?