If the coordinates of the vertices of the triangle ABC be (-1, 6), (- 3, - 9), and (5, -8) respectively, then the equation of the median through C is

13x-14y-47=0

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13x-14y+47=0

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13x+14y+47=0

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13x+14y-47=0

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Solution

The correct option is C 13x+14y+47=0
Required equation of median is $y + 8 = \frac{- \frac{3}{2} + 8}{- 2 - 5} (x - 5)$
$\Rightarrow 13 x + 14 y + 47 = 0$ .

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