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Consider the system of equations : {:(x...

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`.

Text Solution

Verified by Experts

The correct Answer is:
B, C
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