The system of linear equation ( \sin \theta) x+y-2 z=0,2 x-y+(\cos \theta) z=0 and -3 x+( \sec \theta) y+3 z=0, where \theta \neq(2 n+1) \frac{\pi}{2}, has non-trivial solution for

Correct Answer is : no value of θ

\theta=n \pi+\frac{\pi}{4}, n \in Z

\theta=\tan ^{-1} (\frac{3}{4})

\theta=\tan ^{-1} (\frac{4}{3})

TG EAMCET 3 May 2025 Shift 1 Paper

Question : 5 of 160

Marks: +1, -0

The system of linear equation (sin‌θ)x+y−2z=0,2x−y+(cos‌θ)z=0 and −3x+( secθ)y+3z=0, where θ≠(2n+1)‌

, has non-trivial solution for

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