JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 27th June Morning Shift
Question
A circle of radius 2 unit passes through the vertex and the focus of the parabola y2 = 2x and touches the parabola , where > 0. Then (4 8)2 is equal to ______________.
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Show full solutionCorrect answer: 63
Correct answer
63
Step-by-step explanation
Let the equation of circle be
Radius
This circle and parabola touch each other, so
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This is a previous-year question from JEE Main 2022, 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.