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GATE201211
A twophase load draws the following phase currens: $i_1(t)=I_m \sin(\omega t – \phi_1), i_2(t) = I_m \cos(\omega t – \phi_2)$. These currents are balanced if $\phi_1$ is equal to $ \phi_2$ $\phi_2$ $\pi/2  \phi_2$ $\pi/2 + \phi_2$
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Mar 24, 2018
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gate2012ee
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2
GATE201212
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permane magnet moving coil (PMMC) meter connected across the same load reads $4$V $5$ V $8$ V $10$ V
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Mar 24, 2018
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gate2012ee
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3
GATE201213
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
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Mar 24, 2018
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Andrijana3306
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gate2012ee
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4
GATE201214
With initial condition $x(1)=0.5$, the solution of the differential equation $t\frac{dx}{dt}+x=t$ is $x=t\frac{1}{2} \\ $ $x=t^2\frac{1}{2} \\ $ $x=\frac{t^2}{2} \\$ $x=\frac{t}{2}$
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Mar 24, 2018
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Andrijana3306
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gate2012ee
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5
GATE20122
If $x=\sqrt{1}$, then the value of $x^x$ is $e^{ \pi/2}$ $e^{\pi/2}$ $x$ $1$
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Mar 24, 2018
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Andrijana3306
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gate2012ee
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6
GATE20123
Given $f(z) = \frac{1}{z+1} – \frac{2}{z+3}$. If $C$ is a counterclockwise path in the $z$plane such that $\mid z+1 \mid =1$, the value of $\frac{1}{2 \pi \: j} \oint_c f(z) dz$ is $2$ $1$ $1$ $2$
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Mar 24, 2018
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Andrijana3306
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gate2012ee
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7
GATE20124
In the circuit shown below, the current through the inductor is $\frac{2}{1+j} \\ $ A $\frac{1}{1+j} \\$ A $\frac{1}{1+j} \\$ A $0$ A
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Mar 24, 2018
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gate2012ee
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8
GATE20125
The impedance looking into nodes $1$ and $2$ in the given circuit is $50 \: \Omega$ $100 \: \Omega$ $5 \: \Omega$ $10.1 \: \Omega$
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Mar 24, 2018
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Andrijana3306
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1.4k
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gate2012ee
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9
GATE20126
A system with transfer function $G(s) \frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin (\omega t)$. The steadystate output of the system is zero at $\omega = 1$ \rad/s $\omega = 2$ \rad/s $\omega = 3$ \rad/s $\omega = 4$ \rad/s
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Mar 24, 2018
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Andrijana3306
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gate2012ee
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10
GATE20127
In the sum of products function $f(X,Y,Z) = \Sigma(2,3,4,5)$, the prime implicants are $\overline{X}Y, X \overline{Y}$ $\overline{X}Y, X \overline{Y}\overline{Z}, X \overline{Y}Z$ $\overline{X} Y \overline{Z}, \overline{X}YZ, X \overline{Y}$ $\overline{X} Y \overline{Z}, \overline{X}YZ, X \overline{Y} \overline{Z}, X \overline{Y}Z$
asked
Mar 24, 2018
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Andrijana3306
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1.4k
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gate2012ee
0
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11
GATE20121
Two independent random variables $X$ and $Y$ are uniformly distributed in he interval $[1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
asked
Mar 24, 2018
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by
Andrijana3306
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1.4k
points)
gate2012ee
0
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0
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12
GATE2018GA3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
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5.4k
points)
gate2018ee
generalaptitude
numericalability
quadraticequation
functions
0
votes
1
answer
13
GATE2018GA4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k  3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
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5.4k
points)
gate2018ee
generalaptitude
numericalability
algebra
0
votes
1
answer
14
GATE2018GA5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(ab)^{2}$ and $G(a,b)=\mid ab\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
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Feb 19, 2018
in
Numerical Ability
by
Arjun
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5.4k
points)
gate2018ee
generalaptitude
numericalability
functions
0
votes
0
answers
15
GATE2018GA6
An email password must contain three characters. The password has to contain one numeral from $0$ to $9,$ one upper case and one lower case character from the English alphabet. How many distinct passwords are possible$?$ $6,760$ $13,520$ $40,560$ $1,05,456$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
permutationandcombination
counting
0
votes
1
answer
16
GATE2018GA8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0 \\ $ $\frac{325}{864} \\ $ $\frac{525}{864} \\ $ $\frac{5}{12}$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
probability
0
votes
1
answer
17
GATE2018GA9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by $25 \%$. Therefore, the ... $35.75$ $40.25$ $43.75$ $46.25$
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Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
percentage
0
votes
1
answer
18
GATE2018GA10
$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available. The boat held two persons on each of the three forward trips across the lake and one person on each of the two ... $P$ $Q$ $R$ $S$
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
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5.4k
points)
gate2018ee
generalaptitude
verbalability
verbalreasoning
0
votes
1
answer
19
GATE2018GA1
“Since you have gone off the ________, the _________ sand is likely to damage the car.” The words that best fill the blanks in the above sentence are course, coarse course, course coarse, course coarse, coarse
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
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5.4k
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gate2018ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
20
GATE201854
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At noload, the motor speed can be approximated to the synchronous speed. The noload lagging power factor of the motor is __________ (up to $3$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
21
GATE201855
The voltage $v(t)$ across the terminals $a$ and $b$ as shown in the figure, is a sinusoidal voltage having a frequency $\omega = 100 \text{ radian/s}$. When the inductor current $i(t)$ is in phase with the voltage $v(t)$, the magnitude of the impedance $Z$ (in $\Omega$) seen between the terminals $a$ and $b$ is __________ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
22
GATE201846
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
23
GATE201847
A threephase load is connected to a threephase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle  120 ^{\circ} \: V$ ... positive in the anticlockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
24
GATE201848
The voltage across the circuit in the figure, and the current through it, are given by the following expressions: $v(t)=510 \cos (\omega t+ 60^{\circ}) \: V$ $i(t)=5 + X \cos (\omega t) \: A$ where $\omega =100 \: \pi \text{ radian}/s$. If the average power delivered to the circuit is zero, then the value of $X$ (in Ampere) is _______ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
25
GATE201849
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an $RLE$ load as shown in the figure. The rectifier output voltage has an average value given by $V_{\text{o}}= \frac{V_m}{2 \pi} (3+\cos \alpha)$ ... firing angle. If the power delivered to the lossless battery is $1600$ W, $\alpha$ in degree is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
26
GATE201850
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ripple. Both ... average value of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
27
GATE201851
A $3$phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. Iron loss of the transformer is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)
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Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
1
answer
28
GATE201852
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
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29
GATE201853
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant at $50 \: V$. The value of the inductor, $L$ is $5$ ... state and assuming the diode D to be ideal, the power transferred from $B1$ to $B2$ (in Watt) is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
30
GATE201839
The signal energy of he continuoustime signal $x(t)=[(t1)u(t1)][(t2)u(t2)][(t3)u(t3)]+[(t4)u(t4)]$ is $11/3$ $7/3$ $1/3$ $5/3$
asked
Feb 19, 2018
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Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
31
GATE201840
The Fourier transform of a continuoustime signal $x(t)$ is given by $X(\omega) = \frac{1}{(10+j \omega)^2}, – \infty < \omega < \infty$, where $j = \sqrt{1}$ and $\omega$ denoes frequency. Then the value of $\mid \text{ln } x(t) \mid$ at $t=1$ is _________ (up to $1$ decimal place). ($\text{ln}$ denotes the logarithm base $e$)
asked
Feb 19, 2018
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Arjun
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5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
32
GATE201841
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The baseemitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
33
GATE201842
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
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Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
34
GATE201843
Let $f(x) = 3x^37x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
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Feb 19, 2018
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gate2018ee
numericalanswers
0
votes
0
answers
35
GATE201844
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
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Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
36
GATE201845
The capacitance of an airfilled parallelplate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes $86$ pF. Neglecting the fringing effects, the relative permittivity of the dielectric is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
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0
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37
GATE201832
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is $\text{j} 12 \: \Omega$ $\text{j} 12 \: \Omega$ $\text{j} 13 \: \Omega$ $13 \: \Omega$
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
0
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0
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38
GATE201833
Consider a system governed by the following equations $ \frac{dx_1(t)}{dt} = x_2(t)x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)x_2(t)$ The initial conditions are such that $x_1(0)<x_2(0)< \infty$. Let $x_{1f}= \underset{t \to \infty}{\lim} x_1(t)$ ... is true? $x_{1f}<x_{2f}<\infty$ $x_{2f}<x_{1f}<\infty$ $x_{1f}<=_{2f}<\infty$ $x_{1f}=x_{2f}=\infty$
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Feb 19, 2018
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5.4k
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gate2018ee
0
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39
GATE201834
The number of roots of the polynomial, $s^7+s^6+7s^5+14s^4+31s^3+73s^2+25s+200$, in the open left half of the complex plane is $3$ $4$ $5$ $6$
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Feb 19, 2018
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gate2018ee
0
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0
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40
GATE201835
If $C$ is a circle $\mid z \mid=4$ and $f(z)=\frac{z^2}{(z^23z+2)^2}$, then $\underset{C}{\oint} f(z) dz$ is $1$ $0$ $1$ $2$
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Feb 19, 2018
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gate2018ee
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