C is the complex numbers f: C R is defined by f(z)= |z^ 3 -z+z | . The maximum value of f…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

C is the complex numbers \(f: \mathbf{C} \rightarrow \mathbf{R}\) is defined by \(f(z)=\left|z^{3}-z+z\right|\). The maximum value of f on the circle \(|z|=1\) is
  1. \(\sqrt{12}\)
  2. \(\sqrt{13}\)
  3. \(\sqrt{14}\)
  4. \(\sqrt{15}\)

Answer

(C) 14

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