If a^2 + b^2 + c^2 = ab + bc + ca, then the value of a+ c/ b is

RRB Non Technical Model Papers 6 with solutions

Question : 57 of 100

Marks: +1, -0

a^2 + b^2 + c^2 = ab + bc + ca

, then the value of

a+ c/ b

Solution:

a^2 +b^2 + c^2 = ab +bc + ca

⇒ 2a^2 +2b^2 +2c^2 - 2ab - 2bc - 2ca = 0

⇒ a^2 + b^2 - 2ab + b^2 +c^2 - 2bc +c^2 + a^2 - 2ca = 0

⇒(a - b)^2 + (b - c)^2 + (c - a)^2 = 0⇒ a = b = c

Therefore, the value of

{a+c}/b= {a+ a}/a=2

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