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The value of a for which system of equat...

The value of a for which system of equation , `a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x+y+z=0,` has a non-zero solution is:

A

1

B

0

C

-1

D

2

Text Solution

Verified by Experts

Put `Delta = 0`
`|{:(a^(3) , (a + 1)^(3) , (a + 2)^(3)), (a , a+ 1, a + 2) , (1 , 1 ,1 ):}|= 0`
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