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Consider the system of equations in x, y...

Consider the system of equations in `x, y, z` as
`x sin3theta-y+z =0`
`x cos 2 theta+4 y+3 z =0`
`2 x+7 y+7 z =0`
` If this system has a non-trivial solution, then for any integer `n,` values of `theta` are given`

A

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

B

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

C

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

D

`(n pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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