JEE Main 2018MathematicsProperties of TrianglesMediumMCQ

JEE Main 2018 — Properties of Triangles Question with Solution

JEE Main 2018 (08 Apr)

Question

Let the orthocentre and centroid of a triangle be A-3, 5 and B3, 3 respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D352

Step-by-step explanation



Centroid B divides the line joining Orthocentre A and circumcentre C in the ratio 2:1

AB= 3+32+5-32= 62+22= 40=210

AC=32×210=310

Radius =AC2=3104=352

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About this question

This is a previous-year question from JEE Main 2018, 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.