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

1a = b ≠ c
2a ≠ b ≠ c
3a ≠ b = c
4a = b = c

Answer:- 1

Explanation:-

Solution:

Always do these types of question with the help of,

\begin{aligned} Put a = b = c = 1 \\ 3 (a^{2} + b^{2} + c^{2}) = {(a + b + c)}^{2} \\ 3 = 3 Satisfied \\ So, this is answer \to a = b = c \end{aligned}

$\eqalign{ & {\text{Put }}a = b = c = 1 \cr & {\text{3}}\left( {{a^2} + {b^2} + {c^2}} \right) = {\left( {a + b + c} \right)^2} \cr & 3 = 3{\text{ Satisfied}} \cr & {\text{So, this is answer}} \to a = b = c \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Always do these types of question with the help of,

\begin{aligned} Put a = b = c = 1 \\ 3 (a^{2} + b^{2} + c^{2}) = {(a + b + c)}^{2} \\ 3 = 3 Satisfied \\ So, this is answer \to a = b = c \end{aligned}

$\eqalign{ & {\text{Put }}a = b = c = 1 \cr & {\text{3}}\left( {{a^2} + {b^2} + {c^2}} \right) = {\left( {a + b + c} \right)^2} \cr & 3 = 3{\text{ Satisfied}} \cr & {\text{So, this is answer}} \to a = b = c \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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