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GATE ME 2024 Set 1 — Question 13

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MCQ+1 / -0.33MediumAnalytic FunctionsComplex VariablesEngineering MathematicsCauchy-Riemann Equations

Engineering Mathematics → Complex Variables → Analytic Functions

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Question

Let f(z)f(z) be an analytic function, where z=x+iyz = x + iy. If the real part of f(z)f(z) is cosh⁡xcos⁡y\cosh x \cos y, and the imaginary part of f(z)f(z) is zero for y=0y = 0, then f(z)f(z) is
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