If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a3 +

April 2023 1 2 Report

If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a3 +
b3 + c3 is equal to

Step-by-step explanation:

Correct option is C)

Centroid of a triangle is calculated by the formula (3x1+x2+x3,3y1+y2+y3)

So, centroid =(3a+b+c,3b+c+a)=(0,0)

=>a+b+c=0

When a+b+c=0;a3+b3+c3=3abc