JEE Main 2024MathematicsParabolaCommon TangentmediumMCQ

JEE Main 2024Parabola Question with Solution

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

Question

Let be the circle of minimum area touching the parabola and the lines . Then, which one of the following points lies on the circle ?

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation

Let centre be (0, k)

JEE Main 2024 (Online) 6th April Morning Shift Mathematics - Parabola Question 20 English Explanation

Now radius is

Also,

Radius,

So circle will be

satisfies this equation.

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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.