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Let and be real. The set of all values of for which the system of linear equations,,has a non-trival solution is
detailed solution
Correct option is C
The condition for a homogeneour system of equations to have a non-trivial solution is Δ=0 ⇒Δ=λsinαcosα1cosαsinα-1sinα-cosα=0 ⇒λ-cos2α-sin2α-sinα-cosα+sinα+cosαsinα+cosα=0 ⇒λ=cos2α+sin2α The range of cos2α+sin2α is -2,2. ∴The range of λ is -2,2Similar Questions
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