JEE Advanced 2025 Mathematics question
Let and be two distinct points on the ellipse
+ = 1
such that , and . Let C denote the circle , and M be the point (3, 0). Suppose the line intersects C at R, and the line intersects C at S, such that the y-coordinates of R and S are positive. Let and , where O denotes the origin (0, 0). Let |XY| denote the length of the line segment XY. Then which of the following statements is (are) TRUE?
Answer: (A),(C)
Solution
R and S are the auxiliary-circle points of P and Q, so the eccentric angles are and : , , , . Slope of PQ \dfrac\sqrt$3 -
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