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If centroid and orthocenter of a triangle are $(1, 2) and (9, - 6)$ then circumcenter is

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$(3, - 6)$

$(2, 4)$

$(- 3, 6)$

$(2, - 6)$

answer is C.

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Detailed Solution

$G = (1, 2), O = (9, - 6)$

$S =$ The point which divides $\bar{O G}$ in the ratio $3 : 1$ externally

$= (\frac{3 (1) - 1 (9)}{3 - 1}, \frac{3 (2) - 1 (- 6)}{3 - 1})$

$= (- 3, 6)$

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