JEE Main 2025MathematicsParabolaTangent To ParabolamediumMCQ

JEE Main 2025Parabola Question with Solution

From: JEE Main 2025 (Online) 3rd April Morning Shift

Question

The radius of the smallest circle which touches the parabolas and is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

JEE Main 2025 (Online) 3rd April Morning Shift Mathematics - Parabola Question 3 English Explanation

The circle will have centre on line since parabolas are symmetric about line

The slope of tangent at closest point

point will be

Similarly, on

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About this question

This is a previous-year question from JEE Main 2025, 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.