First slide

Cartesian plane

Question

ln $∆$ ABC, if the orthocenter is (1, 2) and the circumcenter is (0, 0), then centroid of $∆$ ABC is

Moderate

A

$(\frac{1}{2}, \frac{2}{3})$
B

$(\frac{1}{3}, \frac{2}{3})$
C

$(\frac{2}{3}, 1)$
D

None of these

Solution

$\begin{array}{l} G \equiv (\frac{1 \times 1 + 2 \times 0}{3}, \frac{2 \times 1 + 2 \times 0}{3}) \\ \equiv (\frac{1}{3}, \frac{2}{3}) \end{array}$

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