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Recent questions tagged complex-number

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1
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
9.3k points
  • gateee-2021
  • complex-variables
  • complex-number
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2
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
9.3k points
  • gate2017-ee-1
  • calculus
  • limits
  • complex-number
0 votes
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3
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
by piyag476
1.5k points
  • gate2013-ee
  • complex-variables
  • complex-number
  • trigonometry
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