JEE Main 2022 Mathematics question
Let PQ be a focal chord of the parabola such that it subtends an angle of at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse E : , . If e is the eccentricity of the ellipse E, then the value of is equal to :
Answer: (2)
Solution
Let , 2t) and , −2/t) be the ends of the focal chord of . The slopes of RP and RQ from R(3, 0) are and −2t/(1 − ), and gives their product = −1: , so , i.e. . So P = (1,
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