JEE Main 2013 — Circle Question with Solution
JEE Main 2013 (22 Apr Online)
Question
If a circle passing through touches the circle externally at a point , then the radius of the circle is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A5
Step-by-step explanation
Let A be the centre of given circle and be the centre of circle C.

Now, from the figure, we have (By mid point formula) Now, required radius

Now, from the figure, we have (By mid point formula) Now, required radius
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This is a previous-year question from JEE Main 2013, 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.