Consider the system of equations: x + y + z = 0 αx + βy + γz = 0 \alpha^2x + \beta^2y + \gamma^2z = 0 Then the system of equations has

A unique solution for all values α, β, γ

Infinite number of solutions if any two of α, β γ are equal

A unique solution if α, β, γ are distinct

More than one, but finite number of solutions depending on values of α, β, γ

WBJEE 2013 Math Solved Paper

Question : 77 of 80

Marks: +1, -0

Consider the system of equations:
x + y + z = 0
αx + βy + γz = 0
α2x + β2y + γ2z = 0
Then the system of equations has

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