JEE Main 2026 — Three Dimensional Geometry Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let a triangle be such that and lie on the line and are at a distance of units from . If is the centroid of , then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The equation of the given line is .
Let .
Any point on this line can be taken as .
Since the points and lie on this line and are at a distance of units from , we have .
For , the point is .
For , the point is .
The centroid of is given by:
Therefore, .
Answer:
Let .
Any point on this line can be taken as .
Since the points and lie on this line and are at a distance of units from , we have .
For , the point is .
For , the point is .
The centroid of is given by:
Therefore, .
Answer:
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This is a previous-year question from JEE Main 2026, 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.