Quantitative Aptitude Ques 244

Question: Two vertices of $ \Delta ABC $ are $ A,(-1,4) $ and $ B,(5,2) $ and its centroid is $ G,(0,-,3). $ Then, the coordinates of C are

Options:

A) $ (4,3) $

B) $ (4,15) $

C) $ (-,4,-15) $

D) $ (-15,-,4) $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let C (x, y) be the required point. Then, $ \frac{-1+5+x}{3}=0 $ and $ \frac{4+2+y}{3}=-,3 $

$ \Rightarrow $ $ 4+x=0 $ and $ 6+y=-,9 $

$ \Rightarrow $ $ x=-,4 $ and $ y=-15 $ So, coordinates of C are $ (-,4,-15). $

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