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JEE Math Practice Question

If x, y, z are in arithmetic progression with common difference d, x $$\ne$$ 3d, and the determinant of the matrix $$\left[ {\begin{matrix} 3 & {4\sqrt 2 } & x \\ 4 & {5\sqrt 2 } & y \\ 5 & k & z \\ \end{matrix} } \right]$$ is zero, then the value of k2 is :

  1. A.72
  2. B.12
  3. C.36
  4. D.6

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