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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

`lamda=sin 2 alpha+cos 2 alpha`

B

`lamda=|sin2alpha|`

C

`lamda=|sin2alpha-cos 2alpha|`

D

`lamda=cos 2 alpha`

Text Solution

Verified by Experts

The correct Answer is:
A
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