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The number of values of ) , 0 ( π ∈ θ for which the system of linear equations x + 3y + 7z = 0 – x + 4y + 7z = 0 (sin3 θ )x + (cos2 θ )y + 2z = 0 has a non-trivial solution, is -

1. two
2. one
3. four
4. three

Correct answer: two

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