Find the centroid of triangle whose vertices are $(- 2, - 1) (9, - 2)$ and $(2, 3)$ .

(2, 3)

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(3, 0)

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(1, 2)

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(3, 2)

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Solution

The correct option is D $(3, 0)$
Centroid of triangle $=$ $(\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})$
$=$ $(\frac{- 2 + 9 + 2}{3}, \frac{- 1 - 2 + 3}{3})$
$=$ $(\frac{9}{3}, \frac{0}{3})$
$= (3, 0)$

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