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Let lambda and alpha be real. The set of...

Let `lambda` and `alpha` be real. The set of all values of λ for which the system of linear equations
`lambda x+(sin alpha)y+(cos alpha)z=0`
`x+(cos alpha)y+(sin alpha)z=0`
`-x +(sin alpha)y-(cos alpha)z=0` has a non trivial solution is

A

`[0, sqrt(2)]`

B

`[-sqrt(2), 0]`

C

`[-sqrt(2), sqrt(2)]`

D

`[0, -sqrt(2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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