IIT JAM Physics Practice Questions - Joint Admission Test For Masters - Physics (PH) Exam

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If z = x² + iy² and we attempt to find points where f(z) = z is analytic, the Cauchy-Riemann equations require which condition?

2x = 2y and 0 = 0, satisfied only on the line x = y All x and y (function is entire) Only at the origin Nowhere in the complex plane

Correct Answer:

2x = 2y and 0 = 0, satisfied only on the line x = y

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