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Let S be the set of all values of θ ∈ [– π , π ] for which the system of linear equations x + y + 3 z = 0 –x + (tan θ ) y + 7 z = 0 x + y + (tan θ ) z = 0 has non-trivial solution. Then ∑ ∈ θ θ π S 120 is equal to

1. 20
2. 40
3. 30
4. 10

Correct answer: 20

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