Let λ and α be real. Let S denote the set of all values of λ for which the system of linear equations has a non – trivial solution \\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

Correct Answer is : [−√2,√2]

AP and TS EAMCET Engineering Model Paper 11

Question : 15 of 160

Marks: +1, -0

Let λ and α be real. Let S denote the set of all values of λ for which the system of linear equations has a non – trivial solution
λx+(sin‌α)y+(cos‌α)z=0
x+(cos‌α)y+(sin‌α)z=0
−x+(sin‌α)y−(cos‌α)z=0

(−1,1)
[−√2,−1]
[1,√2]
[−√2,√2]

Validate

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λ	sin‌α	cos‌α
1	cos‌α	sin‌λ
1	−sin‌α	sin‌α