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 Exams — Complex 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
- \(\sqrt{12}\)
- \(\sqrt{13}\)
- \(\sqrt{14}\)
- \(\sqrt{15}\)
Answer
(C) 14
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