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

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

A

`-1`

B

1

C

0

D

no real values

Text Solution

Verified by Experts

The correct Answer is:
A
Given equations `x +ay =0, az + y =0, ax+z =0` has infinte solutions.
`therefore |{:(1, a 0),(0, 1, a)(a, 0, 1):}| = 0`
`rArr 1+a^(3)=0 "or"a =-1`
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