JEE Main 2023 — Circle Question with Solution
From: JEE Main 2023 (Online) 8th April Morning Shift
Question
Consider a circle . Let its mirror image in the line be another circle . Let be the radius of . Then is equal to _________.
Enter your answer
Show full solutionCorrect answer: -2
Correct answer
-2
Step-by-step explanation
We have,
So, centre and radius of are and respectively
Now, image of along the line is,
Now, will be the centre of
Now, radius of
Concept :
Image of a point w.r.t. is , then
So, centre and radius of are and respectively
Now, image of along the line is,
Now, will be the centre of
Now, radius of
Concept :
Image of a point w.r.t. is , then
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 2023, 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.