AAI ATC Junior Executive 2016 Shift 1 Paper

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Question : 65 of 120

Marks: +1, -0

The Cauchy Riemann equations for f(z) = u(x, y) + iv(x, y) to be analytic are:

$\;{∂u}/{∂x} = \;{∂v}/{∂y},\;{∂u}/{∂y} = \;{∂v}/{∂x}$
$\;{∂u}/{∂x} = \;{∂v}/{∂y},\;{∂u}/{∂y} = −\;{∂v}/{∂x}$
$\;{∂u}/{∂x} = −\;{∂v}/{∂y},\;{∂u}/{∂y}− = \;{∂v}/{∂x}$
$\;{∂^{2}u}/{∂x^{2}} + \;{∂^{2}u}/{∂y^{2}} = 0,\;{∂^{2}v}/{∂x^{2}} + \;{∂^{2}v}/{∂y^{2}} = 0$

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