The number of non-zero integral solutions of the equation |1-i|^ x = z ^ x is

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

The number of non-zero integral solutions of the equation \(|1-i|^{\mathbf{x}}=\mathbf{z}^{\mathbf{x}}\) is
  1. infinite
  2. \(1\)
  3. \(2\)
  4. zero

Answer

(A) infinite

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