JEE Main 2018 — Circle Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
A circle passes through the points and , 5). If its centre lies on the line, , then its radius is equal to
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Equation of the line passing through the points and is
Equation of the perpendicular line passing through the midpoint is
Lines (1) and (2) intersect at the center of the circle. So, the center of the circle is Therefore, the radius is
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Circle chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2018, 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.