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If the system of equations, 2x + 3y-z = ...

If the system of equations, `2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0` has a non-trivial solution (x, y, z), then `(x)/(y) + (y)/(z) + (z)/(x) + k` is equal to

A

`-4`

B

`(3)/(4)`

C

`(1)/(2)`

D

`-(1)/(4)`

Text Solution

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The correct Answer is:
C
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