JEE Main 2013 — Properties of Triangles Question with Solution
JEE Main 2013 (22 Apr Online)
Question
If two vertices of an equilateral triangle are and , and the third vertex C lies above -axis then the equation of the circumcircle of is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let
Now,
From (i) and (ii), and
Since point lies above the -axis and , hence
Let the equation of circumcircle be
Since points A( and lie on the circle, therefore
and
From (iii), (iv), and (v)
Hence equation of the circumcircle is
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This is a previous-year question from JEE Main 2013, 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.