JEE Main 2007 — Circle Question with Solution
JEE Main 2007
Question
Consider a family of circles which are passing through the point and are tangent to axis. If are the co-ordinates of the centre of the circles, then the set of values of is given by the interval
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Equation of circle
It is passing through then
$\begin{aligned}
& (-1-h)^2+(1-k)^2=k^2 \\
& h^2+2 h-2 k+2=0 \\
& D \geq 0 \\
& 2 k-1 \geq 0 \Rightarrow k \geq 1 / 2.
\end{aligned}$
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This is a previous-year question from JEE Main 2007, 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.