JEE Main 2004 — Circle Question with Solution
From: AIEEE 2004
Question
A variable circle passes through the fixed point A (p, q) and touches x-axis. The locus of the other end of the diameter through A is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let the variable circle be
Circle touches -axis,
From
Let the other end of diameter through be
then, and
Put in
locus of is
Circle touches -axis,
From
Let the other end of diameter through be
then, and
Put in
locus of is
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This is a previous-year question from JEE Main 2004, 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.