Find the Relation Between a, b and c :

If 3(a2+b2+c2) = (a+b+c)2, then the relation between a, b and c is

  1. a=b≠c
  2. a≠b≠c
  3. a≠b=c
  4. a=b=c
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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1 Answer(s)

Answer is (4): a=b=c

Explanation:-
3 (a2 + b2 + c2) = (a + b + c)2
If we put a = b = c
Then, the value of 3 (a2 + b2 + c2) = (a + b + c)2
3 (a2 + a2 + a2) = (a + a + a)2
3 (3 a2) = (3a)2
9 a2 = 9 a2

Then, the relation between a, b and c is a = b = c.

Hence, the answer is (4) a = b = c

Monis Rasool Professor Answered on 28th October 2015.
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