First slide

Cartesian plane

Question

In $ΔABC$ , if the orthocenter is (1,2) and the circumcenter is (0,0) then centroid of $ΔABC$ is

Moderate

A

$(1 / 2, 2 / 3)$
B

$(1 / 3, 2 / 3)$
C

$(2 / 3, 1)$
D

None of these

Solution

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

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