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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

`(npi)/(2)+(-1)^(n) (pi)/(4)+ (pi)/(8)` (n is an integer)

B

`(npi)/(2)+ (-1)^(n) (pi)/(8)` (n is an integer)

C

`(npi)/(2)+ (-1)^(n)(pi)/(8)-(pi)/(8)` (nis an integer)

D

`(npi)/(2)+ (-1)^(n) (pi)/(4)- (pi)/(8)` (n is an integer)

Text Solution

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The correct Answer is:
C
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