JEE Main 2005 — Circle Question with Solution
From: AIEEE 2005
Question
If a circle passes through the point (a, b) and cuts the circle orthogonally, then the equation of the locus of its centre is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let the center be
As It cuts the circle orthogonally
Using we get
Let equation of circle is
It passes through
Locus of is
As It cuts the circle orthogonally
Using we get
Let equation of circle is
It passes through
Locus of 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 2005, 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.