Mathematics · 2019
JEE Main · 10 January 2019, Shift 1 · Q79
A point P moves on the line 2 x-3 y+4=0. If Q (1,4) and R (3,-2) are fixed points, then the locus of the centroid of PQR is a line:
A point P moves on the line $\displaystyle 2 x-3 y+4=0$.
If $\displaystyle \mathrm{Q}(1,4)$ and $\displaystyle \mathrm{R}(3,-2)$ are fixed points, then the locus of the centroid of $\displaystyle \triangle \mathrm{PQR}$ is a line :
Official answer
(4)
with slope $\displaystyle \frac{2}{3}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.