JEE Main 2013 — Three Dimensional Geometry Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Let and be the vertices of a triangle . If the centroid of this triangle lies on the line , then the vertex lies on the line :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let

Centroid, Since centroid lies on the line Hence vertex lies on the line

Centroid, Since centroid lies on the line Hence vertex lies on the line
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This is a previous-year question from JEE Main 2013, covering the Three Dimensional Geometry 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.