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Let lambda "and" alpha be real. Let S de...

Let `lambda "and" alpha` be real. Let S denote the set of all values of `lambda ` for which the system of linear equations
`lambda x+(sinalpha)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 then S contains

A

(-1,1)

B

`[-sqrt(2),-1]`

C

`[1,sqrt(2)]`

D

`(-sqrt(2),sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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