Subject :IMO Class : Class 10
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 =
A abc
B 0
C a + b + c
D 3 abc
good question
Ans 1:
Class : Class 7
IT IS D BECAUSE 3abc IS equal to A CUBE+B CUBE+C CUBE
Ans 2:
Class : Class 10
Answer is 3abc cause'.
Centroid in coordinate geometry is equal tO X1+X2+X3/2 , Y1+Y2+Y3/2
THEREFORE 0 EQUAL TO X CORDINATE ANT SO A+B+C EQUAL TO ZERO
Ans 3:
Class : Class 10
D
Because a+b+c=0
And, a3+b3+c3=3abc
Ans 4:
Class : Class 10
D