JEE Main 2015MathematicsCircleMediumMCQ

JEE Main 2015 — Circle Question with Solution

JEE Main 2015 (11 Apr Online)

Question

If the incentre of an equilateral triangle is 1,1 and the equation of its one side is 3x+4y+3=0, then the equation of the circumcircle of this triangle is:

Choose an option

Show full solutionCorrect option: D
Correct answer
Dx2+y2-2x-2y-14=0

Step-by-step explanation



3x+4y+3=0

Since, for equilateral triangle centroid in center and circumcenter is the same therefore length of AB=31+41+332+42

=105=2

R=2AB=4

As centroid divide median in the ratio 2:1

Centre of the circle would be 1,1

∴  Answer is x2+y2-2x-2y-14=0

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About this question

This is a previous-year question from JEE Main 2015, 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.