Mechanical Engineering > Gate 2024 > Analytic Functions
Let 𝑓(𝑧) be an analytic function, where 𝑧 = π‘₯ + 𝑖𝑦. If the real part of 𝑓(𝑧) is cosh π‘₯ cos 𝑦, and the imaginary part of 𝑓(𝑧) is zero for 𝑦 = 0, then 𝑓(𝑧) is
A
cosh π‘₯ exp (βˆ’π‘–π‘¦)
B
cosh 𝑧 exp 𝑧
C
cosh 𝑧 cos 𝑦
D
cosh z

Correct : a

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