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Let lambda and alpha be real. Then the ...

Let `lambda` and `alpha` be real. Then the numbers of intergral values `lambda` for which the system of linear equations
`lambdax +(sin alpha) y+ (cos alpha) z=0`
`x + (cos alpha) y+ (sin alpha) z=0`
`-x+(sin alpha) y -(cos alpha) z=0`
has non-trivial solutions is

A

`(-1,1)`

B

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

C

`[1,sqrt(2)]`

D

`(-2,2)`

Text Solution

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The correct Answer is:
A, B, C
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