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JEE Math Practice Question

If the system of equations 2x + 3y – z = 0, x + ky – 2z = 0 and 2x – y + z = 0 has a non-trival solution (x, y, z), then $${x \over y} + {y \over z} + {z \over x} + k$$ is equal to :-

  1. A.-4
  2. B.$${3 \over 4}$$
  3. C.$${1 \over 2}$$
  4. D.$$-{1 \over 4}$$

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