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The system of equations (sin 3 theta) x ...

The system of equations `(sin 3 theta) x - y+z=0,(cos 2 theta)x+4y+3z=0, 2x+7y+7z=0` has non trivial solutions if

A

`(n+1)^(pi)/(2)+(-1)^(n)(pi)/(4)` (here n is any integer)

B

`(n-1)^(pi)/(2)+(-1)^(n)(pi)/(4)` (here n is any integer)

C

`(npi)/(2)+(-1)^(n)(pi)/(6)` ( here n is any integer )

D

`npi +(-1)^(n)(pi)/(6)` ( here n is any integer )

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The correct Answer is:
D
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