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GATE EC 2015 Set 2 — Question 13

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NAT+1 / -0MediumAnalytic FunctionsComplex AnalysisEngineering Mathematics

Engineering Mathematics → Complex Analysis → Analytic Functions

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Question

Let f(z)=az+bcz+df(z) = \frac{az+b}{cz+d}. If f(z1)=f(z2)f(z_1) = f(z_2) for all z1≠z2z_1 \neq z_2, a=2a = 2, b=4b = 4 and c=5c = 5, then dd should be equal to ________.
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