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Consider the system of linear equations in x, y, and z:
`(sin 3 theta) x-y+z=0`
`(cos 2 theta) x+4y+3z=0`
`2x+7y+7z=0`
Which of the following can be the values of `theta` for which the system has a non-trivial solution ?

A

`pi(n+1/3(-1)^(n))`

B

`pi(n+1/4(-1)^(n))`

C

`pi(n+1/6(-1)^(n))`

D

`(npi)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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