JEE Main 2012 — Circle Question with Solution
JEE Main 2012 (Offline)
Question
The length of the diameter of the circle which touches the -axis at the point and passes through the point is
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Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let be centre.
$\begin{array}{ll}
(h-1)^2+(k-0)^2=k^2 & \Rightarrow h=1 \\
(h-2)^2+(k-3)^2=k^2 & \Rightarrow k=\frac{5}{3}
\end{array}$
diameter is
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This is a previous-year question from JEE Main 2012, 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.