If the system of equations x+a y=0,a z+y...

If the system of equations `x+a y=0,a z+y=0,a n da x+z=0` has infinite solutions, then the value of equation has no solution is `-3` b. `1` c. `0` d. `3`

`-1`

no real values

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The correct Answer is:

The given system of equations will have infinitely many solutions, if
`|(1,a,0),(0,1,a),(a,0,1)| = 0 rArr 1 + a^(3) = 0 rArr a = -1`

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