JEE Main 2025MathematicsStraight LinesHardMCQ

JEE Main 2025Straight Lines Question with Solution

JEE Main 2025 (28 Jan Shift 1)

Question

Let and . Let and be the vertices of a triangle , where is a parameter. If , is the locus of the centroid of triangle ABC , then equals

Choose an option

Show full solutionCorrect option: D
Correct answer
D20

Step-by-step explanation


$\begin{aligned} & (1)^2+(2)^2 \\ & (3 h-1)^2+(3 k)^2=20 \end{aligned}$ Locus of centroid:

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Straight Lines chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2025, covering the Straight Lines 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.