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

• A. – 2, –8, –2
• B. 2, 8, –2
• C. –2, –8, 2
• D. 7, –1, 0

Answer 1

Answer: (C)

–2, –8, 2

Answer 2

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