Consider the system of equations : `{:(x+y+z=0),(alphax+betay+gammaz=0),(alpha^(2)x+beta^(2)y+gamma^(2)z=0):}` Then the system o

Consider the system of equations :
`{:(x+y+z=0),(alphax+betay+gammaz=0),(alpha^(2)x+beta^(2)y+gamma^(2)z=0):}`
Then the system of equation has-
A. a unique solution for all values of `alpha, beta, gamma`
B. infinite number of solutions if any two of `alpha, beta, gamma` are equal
C. a unique solution if `alpha, beta, gamma` are distinct
D. more than one, but infinite number of solutions depending on values of `alpha, beta, gamma`.

Consider the system of equations : `{:(x+y+z=0),(alphax+betay+gammaz=0),(alpha^(2)x+beta^(2)y+gamma^(2)z=0):}` Then the system of equation has-

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