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

A. a = b ≠ c

B. a ≠ b ≠ c

C. a ≠ b = c

D. a = b = c

Answer: Option D

Solution(By Examveda Team)

Always do these types of question with the help of,
$$\eqalign{ & {\text{Put }}a = b = c = 1 \cr & {\text{3}}\left( {{a^2} + {b^2} + {c^2}} \right) = {\left( {a + b + c} \right)^2} \cr & 3 = 3{\text{ Satisfied}} \cr & {\text{So, this is answer}} \to a = b = c \cr} $$