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Engineering Maths · Q70

Complex Variable

Engineering and GATE · Engineering Maths · question 70

Q70

A complex function f(z) = u(x, y) + iv(x, y) and its complex conjugate, f'(z) = u(x, y) - iv(x, y) are both analytic in the entire complex plane, where z = x + iy and i = - 1 . The function f is then given by

A complex function f(z) = u(x, y) + iv(x, y) and its complex conjugate, f'(z) = u(x, y) - iv(x, y) are both analytic in the entire complex plane, where z = x + iy and   The function f is then given by
A.
f(z) = x + iy
B.
f(z) = x2 - y2 + i2xy
C.
f(z) = constant
Answer
D.
f(z) = x2 + y2

Answer: Option C

Solution

Answer: Option C
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