Three Dimensional Geometry Question 62

Question: If the centroid of triangle whose vertices are (a,1, 3), (? 2, b, ?5) and (4, 7, c) be the origin, then the values of a, b, c are

Options:

A) ? 2, ?8, ?2

B) 2, 8, ?2

C) ?2, ?8, 2

D) 7, ?1, 0

Show Answer

Answer:

Correct Answer: C

Solution:

$ 0=\frac{a-2+4}{3}\Rightarrow a=-2,0=\frac{1+b+7}{3},\Rightarrow b=-,8 $ and $ 0=\frac{3-5+c}{3}\Rightarrow c=2 $ .