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JEE Math Practice Question

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then $$\left| {\begin{matrix} x & {a + y} & {x + a} \\ y & {b + y} & {y + b} \\ z & {c + y} & {z + c} \\ \end{matrix} } \right|$$ is equal to :

  1. A.y(b – a)
  2. B.y(a – b)
  3. C.y(a – c)
  4. D.0

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