Straight Line Question 292

Question: 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

Options:

A) $ 13x-14y-47=0 $

B) $ 13x-14y+47=0 $

C) $ 13x+14y+47=0 $

D) $ 13x+14y-47=0 $

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Answer:

Correct Answer: C

Solution:

  • Required equation of median is $ y+8=\frac{-\frac{3}{2}+8}{-2-5}(x-5) $

$ \Rightarrow 13x+14y+47=0 $ .