JEE Main 2008 — Circle Question with Solution
From: AIEEE 2008
Question
The differential equation of the family of circles with fixed radius units and centre on the line is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let the center of the circle be
Equation of circle is
Differentiating with respect to we get
Substituting in equation we get
Equation of circle is
Differentiating with respect to we get
Substituting in equation we get
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This is a previous-year question from JEE Main 2008, 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.