JEE Math Practice Question
Let the area of a $\triangle P Q R$ with vertices $P(5,4), Q(-2,4)$ and $R(a, b)$ be 35 square units. If its orthocenter and centroid are $O\left(2, \frac{14}{5}\right)$ and $C(c, d)$ respectively, then $c+2 d$ is equal to
- A.$3$
- B.$\frac{7}{3}$
- C.$2$
- D.$\frac{8}{3}$
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