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System of equations `x+2y+z=0, 2x+3y-z=0` and `(tantheta)x+y-3z=0` has non-trival solution then number of value (s) of `theta epsilon(-pi,pi)` is equal to

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The correct Answer is:
2
For non trivial solutions
`|(1,2,1),(2,3,-1),(tantheta,1,-3)|=0impliestantheta=6/5`
`:.` Number of solution in `(-pi,pi)` is 2
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