Question

If the centroid of the triangle
formed by points P(a, b) , Q(b,c) , R(c,a) is at origin , find the value of a^2/bc + b^2/ac + c^2/ab .​

Answer 1

Answer:

$a + b + c = 0 \\ now \: we \: have \: the \: identity \\ {a}^{3} + {b}^{3} + {c}^{3} = 3abc \\ consider \\ \frac{ {a}^{2} }{bc} + \frac{ {b}^{2} }{ac} + \frac{ {c}^{2} }{ab} = \frac{ {a}^{3} + {b}^{3} + {c}^{3} }{abc} = \frac{3abc}{abc} = 3$

Answer 2

Answer:

this is correct.............................