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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

Let be a chord of the parabola . If the pole of with respect to the parabola be then the length of is

Answer: (A)

Solution

Let , . The pole of chord is the intersection of the tangents at and , which is . So

= 2a, + = 3a ⇒ = 2,\ + = 3

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Question ID VK-110412