Complex Variables - Cauchy-Riemann Equations

GATE Mechanical Engineering · 2 questions across 2 years (2018-2019) · 5% recurrence rate

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Recurrence sparkline

2018–2019

20182019

Difficulty mix

easy 50%

med 50%

Question types

MCQ2

All 2 questions on Complex Variables - Cauchy-Riemann Equations

2019 Q4

An analytic function $f(z)$ of complex variable $z=x+iy$ may be written as $f(z)=u(x, y)+iv(x, y)$. Then, $u(x, y)$ and $v(x, y)$ must satisfy

Easy✓

2018 Q4

$F(z)$ is a function of the complex variable $z = x+iy$ given by $F(z) = i z + k Re(z) + i Im(z)$. For what value of $k$ will $F(z)$ satisfy the Cauchy-Riemann equations?

Med✓