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For the system of equations x+y+z=6 x+2...

For the system of equations
`x+y+z=6`
`x+2y+alpha z=10`
`x+3y+5z=beta`
, which one of the following is `"NOT"` true?

A

System has a unique solution for `alpha=3 , beta ne 14`

B

System has a unique solution for `alpha=-3 , beta = 14`

C

System has no solution for `alpha=3 , beta=24`

D

System has infinitely many solution for `alpha=3 , beta=14`

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