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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

`(-alpha,sqrt2)uu (sqrt2,oo)`

B

`-1`

C

`(-sqrt5,-sqrt2`

D

none of these

Text Solution

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The correct Answer is:
B
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