JEE Main 2002 — Circle Question with Solution
From: AIEEE 2002
Question
The centre of the circle passing through (0, 0) and (1, 0) and touching the circle is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let the required circle be
Since it passes through and
and
Points and lie inside the circle
so two circles touch internally
Hence, the centers of required circle are
or
Since it passes through and
and
Points and lie inside the circle
so two circles touch internally
Hence, the centers of required circle are
or
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This is a previous-year question from JEE Main 2002, 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.