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Gate Physics Complex Math

Complex function 𝑓(𝑧) = 𝑧 + |𝑧 − 𝑎|^2 (𝑎 is a real number) is

(A) continuous at (𝑎, 𝑎)
(B) complex-differentiable at (𝑎, 𝑎)
(C) complex-differentiable at (𝑎, 0)
(D) analytic at (𝑎, 0)

SK Math Expert Answered question August 1, 2023
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