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Question

Mathematics Question on Linear Equations

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

A

10

B

20

C

30

D

40

Answer

20

Explanation

Solution

The correct option is(B): 20