What will be the value of if a+b+c = 0 and a 2 +b 2 +c 2 = 2abc ?
| What will be the value of if a+b+c = 0 and a2+b2+c2 = 2abc ?
if a+b+c = 0 and a2+b2+c2 = 2abc ? A. abc
B. a2b2c2
C. a3b3c3
D. 4abc
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Given a+b+c = 0
⇒b+c = -a
⇒(b+c)2 = a2
⇒b2 + c2 + 2bc = a2
⇒a2 + b2 + c2 = 2(a2 - bc)
⇒(a2 - bc) = (1/2)(a2 + b2 + c2)
Similarly,
(b2 - ac) = (1/2)(a2 + b2 + c2)
And, (c2 - ab) = (1/2)(a2 + b2 + c2)
Now, 
