If a²+b²+c²-ab-bc-ca=0, then a:b:c is:

  1. 2:1:1
  2. 1:1:2
  3. 1:1:1
  4. 1:2:1
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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1 Answer(s)

Answer:  (3) 1: 1: 1

Explanation:-
a² + b² + c² – ab – bc – ca = 0
By taken option (3) a: b: c = 1: 1: 1
Then, put the values of a = 1, b = 1, c = 1 given in the question,
1² + 1² + 1² – 1 x 1 – 1 x 1 – 1 x 1
3 – 3 = 0

Then, the value of a: b: c = 1: 1: 1

Hence, the answer is (3) 1: 1: 1.

Anurag Mishra Professor Answered on 17th November 2015.
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