JEE Main 2009 — Circle Question with Solution
From: AIEEE 2009
Question
Three distinct points A, B and C are given in the 2 -dimensional coordinates plane such that the ratio of the distance of any one of them from the point to the distance from the point is equal to . Then the circumcentre of the triangle ABC is at the point :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given that
and
Let then
A lies on the circle given by eq. As and
also follow the same condition, - they must lie on the same circle.
Center of circumcircle of
Center of circle given by
and
Let then
A lies on the circle given by eq. As and
also follow the same condition, - they must lie on the same circle.
Center of circumcircle of
Center of circle given by
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This is a previous-year question from JEE Main 2009, 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.