JEE Math Practice Question
Let S be the set of all values of $$\theta \in[-\pi, \pi]$$ for which the system of linear equations $$x+y+\sqrt{3} z=0$$ $$-x+(\tan \theta) y+\sqrt{7} z=0$$ $$x+y+(\tan \theta) z=0$$ has non-trivial solution. Then $$\frac{120}{\pi} \sum\limits_{\theta \in \mathrm{s}} \theta$$ is equal to :
- A.40
- B.30
- C.10
- D.20
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