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Recent questions tagged complex-number

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Best Open Video Playlist for Complex Number Topic | Quantitative Aptitude
Please list out the best free available video playlist for Complex Number from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video ... ones are more likely to be selected as best. For the full list of selected videos please see here

makhdoom ghaya asked in Study Resources Aug 25, 2022

by makhdoom ghaya

133 views

2 votes

1 answer

2

ISI2015-MMA-18
The set of complex numbers $z$ satisfying the equation $(3+7i)z+(10-2i)\overline{z}+100=0$ represents, in the complex plane, a straight line a pair of intersecting straight lines a point a pair of distinct parallel straight lines

Arjun asked in Quantitative Aptitude Sep 23, 2019

by Arjun

1.1k views

1 vote

1 answer

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ISI2015-MMA-21
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $ \sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$

Arjun asked in Others Sep 23, 2019

by Arjun

868 views

0 votes

1 answer

4

ISI2015-MMA-83
If $\alpha, \beta$ are complex numbers then the maximum value of $\dfrac{\alpha \overline{\beta}+\overline{\alpha}\beta}{\mid \alpha \beta \mid}$ is $2$ $1$ the expression may not always be a real number and hence maximum does not make sense none of the above

Arjun asked in Others Sep 23, 2019

by Arjun

411 views

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1 answer

5

ISI2019-MMA-21
A function $f:\mathbb{R^2} \rightarrow \mathbb{R}$ is called degenerate on $x_i$, if $f(x_1,x_2)$ remains constant when $x_i$ varies $(i=1,2)$. Define $f(x_1,x_2) = \mid 2^{\pi _i/x_1} \mid ^{x_2} \text{ for } x_1 \neq 0$, where $i = \sqrt {-1}$. ... $x_1$ but not on $x_2$ $f$ is degenerate on $x_2$ but not on $x_1$ $f$ is neither degenerate on $x_1$ nor on $x_2$

Sayan Bose asked in Others May 7, 2019

1.3k views

1 vote

1 answer

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NIELIT 2018-28
For the function $(z) = \frac{1}{z^2(e^z-1)}, z=0$ is a pole of order: $1$ $2$ $3$ None of these

Arjun asked in Others Dec 7, 2018

by Arjun

1.7k views

0 votes

1 answer

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ISI2016-MMA-2
How many complex numbers $z$ are there such that $\mid z+1 \mid = \mid z+i \mid$ and $\mid z \mid =5$? $0$ $1$ $2$ $3$

go_editor asked in Others Sep 13, 2018

255 views

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1 answer

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Syllabus Gate 2019
Is the chapter Complex functions part of gate 2019 maths syllabus? Previously questions about analytic functions have been asked a lot. Are they part of the syllabus?

bts asked in Mathematical Logic Jul 3, 2018

by bts

666 views

1 vote

1 answer

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ISI MMA QROR
For n ≥ 1, let Gn be the geometric mean of { sin (π/2 . k/n) : 1 ≤ k ≤ n } Then lim n→∞ Gn is

Partha De asked in Calculus Apr 15, 2018

800 views

1 vote

3 answers

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ISI-2016-02
How many complex numbers $z$ are there such that $\mid z+1 \mid = \mid z+i \mid$ and $\mid z \mid = 5$ ? $0$ $1$ $2$ $3$

jjayantamahata asked in Mathematical Logic Mar 30, 2018

by jjayantamahata

364 views

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0 answers

11

ISI-2014-17
What is the minimum value of $\mid z+w \mid$ for complex numbers $z$ and $w$ with $zw = 1$? $0$ $1$ $2$ $3$

jjayantamahata asked in Mathematical Logic Mar 17, 2018

by jjayantamahata

278 views

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1 answer

12

ISI-2014-3
If $\mid 2^z \mid = 1$ for a non-zero complex number $z$ then which one of the following is necessarily true $Re(z)=0$ $\mid z \mid =1$ $Re(z) = 1$ $\text{No such z exists}$

jjayantamahata asked in Mathematical Logic Mar 17, 2018

by jjayantamahata

316 views

1 vote

0 answers

13

Complex number
The real values of $(a+ib)^{\dfrac{1}{n}} + (a-ib)^{\dfrac{1}{n}}$ is

Niranjankrraj asked in Linear Algebra Feb 27, 2018

by Niranjankrraj

601 views

1 vote

0 answers

14

Mathematics GATE 2018 CH: 54
The deacy ratio for a system having complex conjugate poles as $(-\dfrac{1}{10} + j\dfrac{2}{15})$ and $(-\dfrac{1}{10} - j\dfrac{2}{15})$ is $7\times10^{-1}$ $8\times10^{-2}$ $9\times10^{-3}$ $10\times10^{-4}$

Lakshman Bhaiya asked in Calculus Feb 20, 2018

by Lakshman Bhaiya

498 views

0 votes

1 answer

15

Complex
Find the modulus and argument of $\frac{1+i}{7+24i}$

Pragy Agarwal asked in Unknown Category Jun 11, 2016

by Pragy Agarwal

570 views

1 vote

2 answers

16

How to solve below equation ?
The value of $\frac{(1-i\sqrt 3)^{30}}{ (1+i)^{60}} \left( i = \sqrt {-1}\right)$ is ______. 1 0 -1 2

radha gogia asked in Calculus Nov 18, 2015

570 views

2 votes

1 answer

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TIFR CSE 2013 | Part A | Question: 7
For any complex number $z$, $arg$ $z$ defines its phase, chosen to be in the interval $0\leq arg z < 360^{∘}$. If $z_{1}, z_{2}$ and $z_{3}$ ... $\frac{1}{3}$ 1 3 $\frac{1}{2}$

makhdoom ghaya asked in Quantitative Aptitude Nov 4, 2015

by makhdoom ghaya

619 views

8 votes

4 answers

18

TIFR CSE 2011 | Part A | Question: 13
If $z=\dfrac{\sqrt{3}-i}{2}$ and $\large(z^{95}+ i^{67})^{97}= z^{n}$, then the smallest value of $n$ is $1$ $10$ $11$ $12$ None of the above

makhdoom ghaya asked in Quantitative Aptitude Oct 19, 2015

by makhdoom ghaya

1.4k views

3 votes

2 answers

19

TIFR CSE 2011 | Part A | Question: 5
Three distinct points $x, y, z$ lie on a unit circle of the complex plane and satisfy $x+y+z=0$. Then $x, y, z$ form the vertices of . An isosceles but not equilateral triangle. An equilateral triangle. A triangle of any shape. A triangle whose shape can't be determined. None of the above.

makhdoom ghaya asked in Quantitative Aptitude Oct 17, 2015

by makhdoom ghaya

702 views

0 votes

1 answer

20

Value of a^2+b^2 ?

Proton asked in Linear Algebra Mar 29, 2015

by Proton

493 views

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