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Recent questions tagged complexnumber
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ISI2015MMA18
The set of complex numbers $z$ satisfying the equation $(3+7i)z+(102i)\overline{z}+100=0$ represents, in the complex plane, a straight line a pair of intersecting straight lines a point a pair of distinct parallel straight lines
asked
Sep 23, 2019
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Numerical Ability
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Arjun
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isi2015mma
numericalability
geometry
straightlines
complexnumber
nongate
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1
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2
ISI2015MMA21
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 $5$ $5 \omega$ $5(1+\omega)$ $0$
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Sep 23, 2019
in
Others
by
Arjun
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21
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isi2015mma
complexnumber
nongate
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0
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3
ISI2015MMA83
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
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Sep 23, 2019
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Others
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Arjun
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11
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isi2015mma
complexnumber
nongate
0
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1
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4
ISI2019MMA21
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 $x_2$
asked
May 7, 2019
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Others
by
Sayan Bose
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7.4k
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404
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isi2019mma
complexnumber
0
votes
1
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5
ISI2016MMA2
How many complex numbers $z$ are there such that $\mid z+1 \mid = \mid z+i \mid$ and $\mid z \mid =5$? $0$ $1$ $2$ $3$
asked
Sep 13, 2018
in
Others
by
jothee
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105k
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isi2016mmamma
complexnumber
nongate
0
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1
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6
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?
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Jul 3, 2018
in
Mathematical Logic
by
bts
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129
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268
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preparation
gate2019
syllabus
engineeringmathematics
complexnumber
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vote
1
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7
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
asked
Apr 15, 2018
in
Calculus
by
Partha De
(
11
points)

132
views
trigonometry
complexnumber
+1
vote
3
answers
8
ISI201602
How many complex numbers $z$ are there such that $\mid z+1 \mid = \mid z+i \mid$ and $\mid z \mid = 5$ ? $0$ $1$ $2$ $3$
asked
Mar 30, 2018
in
Mathematical Logic
by
jjayantamahata
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1.5k
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104
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engineeringmathematics
complexnumber
0
votes
0
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9
ISI201417
What is the minimum value of $\mid z+w \mid$ for complex numbers $z$ and $w$ with $zw = 1$? $0$ $1$ $2$ $3$
asked
Mar 18, 2018
in
Mathematical Logic
by
jjayantamahata
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1.5k
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67
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complexnumber
0
votes
1
answer
10
ISI20143
If $\mid 2^z \mid = 1$ for a nonzero complex number $z$ then which one of the following is necessarily true $Re(z)=0$ $\mid z \mid =1$ $Re(z) = 1$ $\text{No such z exists}$
asked
Mar 17, 2018
in
Mathematical Logic
by
jjayantamahata
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1.5k
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57
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complexnumber
+1
vote
0
answers
11
Complex number
The real values of $(a+ib)^{\dfrac{1}{n}} + (aib)^{\dfrac{1}{n}}$ is
asked
Feb 27, 2018
in
Linear Algebra
by
Niranjankrraj
(
11
points)

175
views
complexnumber
+1
vote
0
answers
12
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 $7\times10^{1}$ $8\times10^{2}$ $9\times10^{3}$ $10\times10^{4}$
asked
Feb 20, 2018
in
Calculus
by
Lakshman Patel RJIT
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58.5k
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167
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gate2018ch
complexnumber
+2
votes
1
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13
TIFR2016A6
Which of the following statements about the eigen values of $I_n$, the $n \times n$ identity matrix (over complex numbers), is true? The eigen values are $1, \omega, \omega^2, \dots , \omega^{n1}$, where $\omega$ is a primitive $n$th root of unity The only eigen ... values, but there are no other eigen values The eigen values are 1$, 1/2, 1/3, \dots , 1/n$ The only eigen value is 1
asked
Dec 26, 2016
in
Others
by
jothee
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105k
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116
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tifr2016
matrices
complexnumber
0
votes
1
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14
Complex
Find the modulus and argument of $\frac{1+i}{7+24i}$
asked
Jun 11, 2016
by
Pragy Agarwal
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(
22.8k
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223
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complexnumber
+1
vote
2
answers
15
How to solve below equation ?
The value of $\frac{(1i\sqrt 3)^{30}}{ (1+i)^{60}} \left( i = \sqrt {1}\right)$ is ______. 1 0 1 2
asked
Nov 18, 2015
in
Calculus
by
radha gogia
Loyal
(
6.4k
points)

204
views
calculus
complexnumber
+2
votes
0
answers
16
TIFR2013A7
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 $z_{3}$ are three complex numbers with the same modulus but different phases ($arg z_{3} < arg z_{2} < arg z_{1} < 180^{∘}$), ... $\frac{1}{3}$ 1 3 $\frac{1}{2}$
asked
Nov 4, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
30.6k
points)

145
views
tifr2013
numericalability
complexnumber
nongate
+6
votes
2
answers
17
TIFR2011A13
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.
asked
Oct 19, 2015
in
Numerical Ability
by
makhdoom ghaya
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(
30.6k
points)

340
views
tifr2011
numericalability
complexnumber
+3
votes
1
answer
18
TIFR2011A5
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.
asked
Oct 17, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
30.6k
points)

176
views
tifr2011
numericalability
geometry
complexnumber
nongate
0
votes
1
answer
19
Value of a^2+b^2 ?
asked
Mar 29, 2015
in
Linear Algebra
by
Proton
(
271
points)

160
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complexnumber
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