Question

if the centroid of the traingle formed by the points ​

Answer 1

Centroid of the triangle = (0,0)

so, (a + b + c)/3 = 0 and (b + c + a)/3 = 0

so, a + b + c = 0

We know that if a + b + c = 0

then, a^3 + b^3 + c^3 - 3abc = 0

so, a^3 + b^3 + c^3 = 3abc -----------------------(1)

Now, a^2/bc + b^2/ac + c^2/ab

= (a^3 + b^3 + c^3)/abc = 3abc/abc = 3               [By using Eqn (1)]