JEE Main 2025MathematicsCircleFamily Of CirclemediumNumerical

JEE Main 2025Circle Question with Solution

From: JEE Main 2025 (Online) 2nd April Morning Shift

Question

The absolute difference between the squares of the radii of the two circles passing through the point and touching the lines and , is equal to ________ .

Enter your answer

Show full solutionCorrect answer: 768
Correct answer
768

Step-by-step explanation

JEE Main 2025 (Online) 2nd April Morning Shift Mathematics - Circle Question 4 English Explanation

and are tangents

Both circle centre will lie on -axis

Hence centre is

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Circle chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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