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Consider the ellipse 1 4 y 9 x 2 2 . Let S(p, q) be a point in the first quadrant such that 1 4 q 9 p 2 2 . 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 2 3 , then which of the following options is correct ?
- q = 2, p = 3 3
- q = 2, p = 3 4
- q = 1, p = 3 5
- q = 1, p = 3 6
Correct answer: q = 2, p = 3 3
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