JEE Main 2024 — 29 January, Shift 1 — Question 15

Let $P Q R$ be a triangle with $R(-1,4,2)$. Suppose $\mathrm{M}(2,1,2)$ is the mid point of PQ . The distance of the centroid of $\triangle P Q R$ from the point of intersection of the line $\frac{\mathrm{x}-2}{0}=\frac{\mathrm{y}}{2}=\frac{\mathrm{z}+3}{-1}$ and $\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}+3}{-3}=\frac{\mathrm{z}+1}{1}$ is