If a, b, c are real and a3 + b3 + c3 = 3abc and a + b +

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If a, b, c are real and a³ + b³ + c³ = 3abc and a + b + c ≠ 0 , then the relation between a, b, c will be

1. a + b = c
2. a + c = b
3. a = b = c
4. b + c = a

Correct Option: C

Given that :-
Now ,a³ + b³ + c³ = 3abc
( a+b+c )( a² + b² + c² - ab - bc - ca ) + 3abc = 3abc
( a+b+c )( a² + b² + c² - ab - bc - ca ) = 0
∴ a² + b² + c² - ab - bc - ca = 0 or a + b + c ≠ 0
Where ,
a = b = c