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Recent questions tagged complex-number

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GATE Electrical 2021 | Question: 2
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ ... $p\left ( z \right )=0$ come in conjugate pairs All the roots cannot be real

Arjun asked in Complex Variables Feb 20, 2021

by Arjun

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GATE Electrical 2017 Set 1 | Question: 2
For a complex number $z,\displaystyle{} \lim_{z \rightarrow i} \frac{z^{2}+1}{z^{3}+2z-i (z^{2}+2)}$ is $-2i$ $-i$ $i$ $2i$

Arjun asked in Calculus Feb 27, 2017

by Arjun

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GATE Electrical 2013 | Question: 23
Square roots of $-i$,where $i=\sqrt{-1}$, are $i,-i \\$ $\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$ $\cos(\dfrac{\pi }{4} )+i\sin(\dfrac{3\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{\pi }{4}) \\$ $\cos(\dfrac{3\pi }{4} )+i\sin(-\dfrac{3\pi }{4})+\cos(-\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4})$

piyag476 asked in Complex Variables Feb 12, 2017

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