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JEE Main 2014 Mathematics question

MathematicsCircleJEE Main 2014

Let be the length of the common chord of the curves and , and be the length of the latus rectum of , then:

Answer: (3)

Solution

Substituting into the circle: , so x = 1 (x = −9 is rejected). Then , giving the chord endpoints

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Question ID VK-104504