JEE Main 2005 — Circle Question with Solution
JEE Main 2005
Question
A circle touches the -axis and also touches the circle with centre at and radius
2. The locus of the centre of the circle is
Choose an option
Show full solutionCorrect option: D
Correct answer
Da parabola
Step-by-step explanation
Equation of circle with centre and radius 2 is Let locus of the variable circle is It touches -axis. It equation Circles touch externally Locus is which is parabola.
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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.