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Let S be the set of all value of theta i...

Let S be the set of all value of `theta in [-pi,pi]` for which the system of linear equations
`x+y+sqrt3 z=0`
`-x+(tan theta)y+sqrt7 z=0`
`x+y+(tan theta)z=0`
has non-trival solution. Then `120/pi sum_(theta in s)theta` is equal to

A

40

B

20

C

10

D

30

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