JEE Main 2024MathematicsParabolaTangent To ParabolamediumNumerical

JEE Main 2024Parabola Question with Solution

From: JEE Main 2024 (Online) 6th April Morning Shift

Question

Let a conic pass through the point and , be any point on . Let the slope of the line touching the conic only at a single point be half the slope of the line joining the points and . If the focal distance of the point on is , then equals ________.

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Show full solutionCorrect answer: 75
Correct answer
75

Step-by-step explanation

As per given condition

Curve is

Focal distance of

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About this question

This is a previous-year question from JEE Main 2024, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.