1
GATE EE 2024
MCQ (More than One Correct Answer)
+1
-0.33
Which of the following complex functions is/are analytic on the complex plane?
2
GATE EE 2024
Numerical
+1
-0.33
Consider the complex function $f(z) = \cos z + e^{z^2}$. The coefficient of $z^5$ in the Taylor series expansion of $f(z)$ about the origin is ______ (rounded off to 1 decimal place).
Your input ____
3
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
For a complex number $$z,$$
$$\mathop {Lim}\limits_{z \to i} {{{z^2} + 1} \over {{z^3} + 2z - i\left( {{z^2} + 2} \right)}}$$ is
$$\mathop {Lim}\limits_{z \to i} {{{z^2} + 1} \over {{z^3} + 2z - i\left( {{z^2} + 2} \right)}}$$ is
4
GATE EE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( z \right) = z + {z^ * }$$ where $$z$$ is a complex variable and $${z^ * }$$ denotes its complex conjugate. Which one of the following is TRUE?
Questions Asked from Complex Variable (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE EE Subjects
Electric Circuits
Electromagnetic Fields
Signals and Systems
Electrical Machines
Engineering Mathematics
General Aptitude
Power System Analysis
Electrical and Electronics Measurement
Analog Electronics
Control Systems
Power Electronics