If the system of equations 2 x+3 y-z=0, x+k y-2 z=0 and z x-y+z=0 has a non-trivial…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If the system of equations \(2 x+3 y-z=0, x+k y-2 z=0\) and \(z x-y+z=0\) has a non-trivial solution (x, y, z) then \(\frac{x}{y}+\frac{y}{z}+\frac{z}{x}+k\) is equal to:
  1. \(\frac{1}{2}\)
  2. \(\frac{3}{4}\)
  3. \(-\frac{1}{4}\)
  4. -4

Answer

(A) 1 2

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