JEE Main 2012MathematicsProperties of TrianglesHardMCQ

JEE Main 2012Properties of Triangles Question with Solution

JEE Main 2012 (19 May Online)

Question

If three distinct points are given in the 2dimensional coordinate plane such that the ratio of the distance of each one of them from the point to the distance from is equal to , then the circumcentre of the triangle is at the point

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

Let and A lies on the circle given by (1). As and also follow the same condition. Centre of circumcircle of centre of circle given by (1)

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Properties of Triangles 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 2012, covering the Properties of Triangles 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.