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Mathematics · 2025

JEE Main · 23 January 2025, Shift 1 · Q9

Let the area of a P Q R with vertices P(5,4), Q(-2,4) and R(a, b) be 35 square units. If its orthocenter and centroid are O (2, 14/5) and C ( c, d )…

Let the area of a $\displaystyle \triangle P Q R$ with vertices $\displaystyle P(5,4), Q(-2,4)$ and $\displaystyle R(a, b)$ be $\displaystyle 35$ square units. If its orthocenter and centroid are $\displaystyle \mathrm{O}\left(2, \frac{14}{5}\right)$ and $\displaystyle \mathrm{C}(\mathrm{c}, \mathrm{d})$ respectively, then $\displaystyle \mathrm{c}+2 \mathrm{~d}$ is equal to
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