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2641
GATE ECE 2014 Set 1 | Question: 26
The Taylor series expansion of $3\sin x + 2 \cos x$ is $2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$ $2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$ $2 + 3x + x^{2} + \frac{x^{3}}{2} + \dots$ $2 – 3x – x^{2} + \frac{x^{3}}{2} + \dots$
The Taylor series expansion of $3\sin x + 2 \cos x$ is$2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$$2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$$2 + 3x + x^{2} + \frac...
Milicevic3306
16.0k
points
85
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Milicevic3306
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Mar 25, 2018
Calculus
gate2014-ec-1
calculus
taylor-series
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–
0
votes
0
answers
2642
GATE ECE 2014 Set 1 | Question: 27
For a function $g(t),$ it is given that $\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{- \infty}^{t}\:g(\tau)\:d\tau,$ then $\int_{- \infty}^{ + \infty}y(t)dt$ is $0$ $-j$ $-\frac{j}{2}$ $\frac{j}{2}$
For a function $g(t),$ it is given that $\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{- \in...
Milicevic3306
16.0k
points
83
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Milicevic3306
asked
Mar 25, 2018
Complex Analysis
gate2014-ec-1
complex-analysis
+
–
0
votes
0
answers
2643
GATE ECE 2014 Set 1 | Question: 28
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______.
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______....
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2644
GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
Consider the matrix $$J_{6} = \begin{bmatrix} 0&0 &0 &0 &0 &1 \\ 0& 0& 0& 0& 1&0 \\ 0& 0& 0& 1& 0&0 \\ 0&0 & 1& 0&0 &0 \\0 &1 &0 &0 &0 &0 \\1 &0 &0 &0 & 0& 0\end{bmatrix}...
Milicevic3306
16.0k
points
213
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Milicevic3306
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Mar 25, 2018
Linear Algebra
gate2014-ec-1
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
2645
GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowe...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
network-solution-methods
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–
0
votes
0
answers
2646
GATE ECE 2014 Set 1 | Question: 31
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA$ at $0.8$ lagging power factor. The complex power delivered by the source is $(18 + j\:1.5)\:kVA$ $(18 – j\:1.5)\:kVA$ ‘$(20 + j\:1.5)\:kVA$ $(20 – j\:1.5)\:kVA$
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA...
Milicevic3306
16.0k
points
126
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Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
continuous-time-signals
maximum-power-transfer
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–
0
votes
0
answers
2647
GATE ECE 2014 Set 1 | Question: 32
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
Milicevic3306
16.0k
points
78
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Milicevic3306
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Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
rms
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–
0
votes
0
answers
2648
GATE ECE 2014 Set 1 | Question: 33
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
Milicevic3306
16.0k
points
70
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Milicevic3306
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Mar 25, 2018
Electronic Devices
gate2014-ec-1
numerical-answers
electronic-devices
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–
0
votes
0
answers
2649
GATE ECE 2014 Set 1 | Question: 34
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT (in $mA/V$) is __________
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT ...
Milicevic3306
16.0k
points
131
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Milicevic3306
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Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
bipolar-junction-transistor
analog-circuits
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–
0
votes
0
answers
2650
GATE ECE 2014 Set 1 | Question: 35
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $0.3\:V$ is applied to the diode. At $T = 300\:K,$ ... $1\times 10^{16}\:cm^{-3}$ $1\times 10^{17}\:cm^{-3}$ $2.25\times 10^{6}\:cm^{-3}$
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2014-ec-1
electronic-devices
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–
0
votes
0
answers
2651
GATE ECE 2014 Set 1 | Question: 36
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_{DS} = 5\:V,\:W/L = 100,C_{ox} = 10^{-8}\:F/cm^{2}$ and $\mu_{n} = 800\:cm^{2}/V$-$s.$ The value of the resistance of the voltage controlled resistor (in $\Omega)$ is _______.
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_...
Milicevic3306
16.0k
points
63
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
mosfet
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–
0
votes
0
answers
2652
GATE ECE 2014 Set 1 | Question: 37
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regulated output of $9\:V,$ the value of $R$ (in $\Omega)$ is ______.
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regul...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
op-amps
bipolar-junction-transistor
+
–
0
votes
0
answers
2653
GATE ECE 2014 Set 1 | Question: 38
In the circuit shown the op-amp has finite input impedance, infinite voltage gain, and zero input offset voltage. The output voltage $V_{out}$ is $-I_{2}(R_{1} + R_{2})$ $I_{2}R_{2}$ $I_{1}R_{2}$ $-I_{1}(R_{1} + R_{2})$
In the circuit shown the op-amp has finite input impedance, infinite voltage gain, and zero input offset voltage. The output voltage $V_{out}$ is $-I_{2}(R_{1} + R_{2})$$...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
op-amps
analog-circuits
electronic-devices
+
–
0
votes
0
answers
2654
GATE ECE 2014 Set 1 | Question: 39
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of the amplifier is ______.
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of th...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
bjt-and-mosfet-amplifiers
+
–
2
votes
0
answers
2655
GATE ECE 2014 Set 1 | Question: 40
The output $F$ in the digital logic circuit shown in the figure is $F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$ $F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\overline{Z}$ $F = \overline{X}\:\overline{Y}\:Z + X\:Y\:Z$ $F = \overline{X}\:\overline{Y}\:\overline{Z} + X\:Y\:Z$
The output $F$ in the digital logic circuit shown in the figure is$F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$$F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\over...
Milicevic3306
16.0k
points
132
views
Milicevic3306
asked
Mar 25, 2018
Combinational Circuits
gate2014-ec-1
digital-circuits
combinational-circuits
logic-gates
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–
0
votes
0
answers
2656
GATE ECE 2014 Set 1 | Question: 43
Let $x[n] = \bigg( – \dfrac{1}{9}\bigg)^{n}u(n) \:– \bigg( – \dfrac{1}{3}\bigg)^{n}u(-n-1).$ The Region of Convergence (ROC) of the $z$-transform of $x[n]$ is $\mid z \mid > \frac{1}{9} \\$ is $\mid z \mid < \frac{1}{3} \\$ is $\frac{1}{3}>\mid z \mid > \frac{1}{9} \\$ does not exist
Let $x[n] = \bigg( – \dfrac{1}{9}\bigg)^{n}u(n) \:– \bigg( – \dfrac{1}{3}\bigg)^{n}u(-n-1).$ The Region of Convergence (ROC) of the $z$-transform of $x[n]$is $\mid ...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2014-ec-1
convergence-criteria
numerical-methods
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–
0
votes
0
answers
2657
GATE ECE 2014 Set 1 | Question: 44
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ are non-zero when $k = Bm\: \pm 1,$ where $m$ is any integer. The value of $B$ is ______.
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ ar...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
+
–
0
votes
0
answers
2658
GATE ECE 2014 Set 1 | Question: 45
A system is described by the following differential equation, where $u(t)$ is the input to the system and $y(t)$ is the output of the system. $y(t) + 5y(t) = u(t)$ When $y(0) = 1$ and $u(t)$ is a unit step function, $y(t)$ is $0.2 + 0.8e^{-5t}$ $0.2 - 0.2e^{-5t}$ $0.8 + 0.2e^{-5t}$ $0.8 - 0.8e^{-5t}$
A system is described by the following differential equation, where $u(t)$ is the input to the system and $y(t)$ is the output of the system.$$y(t) + 5y(t) = u(t)$$When $...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2014-ec-1
differential-equations
+
–
0
votes
0
answers
2659
GATE ECE 2014 Set 1 | Question: 46
Consider the state space model of a system, as given below ... The system is controllable and observable uncontrollable and observable uncontrollable and unobservable controllable and unobservable
Consider the state space model of a system, as given below$\begin{bmatrix} x_{1}\\x_{2} \\x_{3} \end{bmatrix} \begin{bmatrix} -1 &1 &0 \\ 0& -1 &0 \\ 0 & 0 & -2 \end{bmat...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
vector-analysis
+
–
0
votes
0
answers
2660
GATE ECE 2014 Set 1 | Question: 47
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
2661
GATE ECE 2014 Set 1 | Question: 48
For the following feedback system $G(s) = \dfrac{1}{(s+1)(s+2)}.$ The $2\%$-settling time of the step response is required to be less than $2$ seconds. Which one of the following compensators $C(s)$ achieves this? $3\bigg(\dfrac{1}{s+5}\bigg) \\$ $5\bigg(\dfrac{0.03}{s} + 1\bigg) \\$ $2(s+4) \\$ $4\bigg(\dfrac{s+8}{s+3}\bigg)$
For the following feedback system $G(s) = \dfrac{1}{(s+1)(s+2)}.$ The $2\%$-settling time of the step response is required to be less than $2$ seconds.Which one of the fo...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2014-ec-1
differential-equations
+
–
0
votes
0
answers
2662
GATE ECE 2014 Set 1 | Question: 49
Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is $(E[X])^{2}>E[X^{2}]$ $E[X^{2}]\geq (E[X])^{2}$ $E[X^{2}] = (E[X])^{2}$ $E[X^{2}] > (E[X])^{2}$
Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is$(E[...
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
probability-and-statistics
probability
random-variable
expectation
+
–
0
votes
0
answers
2663
GATE ECE 2014 Set 1 | Question: 50
Consider a random process $X(t) = \sqrt{2}\sin(2\pi t + \varphi),$ where the random phase $\varphi$ is uniformly distributed in the interval $[0,2\pi].$ The auto-correlation $E[X(t_{1})X(t_{2})]$ is $\cos(2\pi(t_{1} + t_{2}))$ $\sin(2\pi(t_{1} - t_{2}))$ $\sin(2\pi(t_{1} + t_{2}))$ $\cos(2\pi(t_{1} - t_{2}))$
Consider a random process $X(t) = \sqrt{2}\sin(2\pi t + \varphi),$ where the random phase $\varphi$ is uniformly distributed in the interval $[0,2\pi].$ The auto-correlat...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
probability-and-statistics
statistics
uniform-distribution
correlation-and-regression-analysis
+
–
0
votes
0
answers
2664
GATE ECE 2014 Set 1 | Question: 51
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit energy and noise power spectral density. A system with two independent and identical ... both the channels. If the BER of this system is $Q( b \sqrt{\gamma})$ then the value of $b$ is _____.
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
2665
GATE ECE 2014 Set 1 | Question: 52
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits is _____.
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits i...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
entropy
communications
+
–
0
votes
0
answers
2666
GATE ECE 2014 Set 1 | Question: 53
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions. $\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omega t - \beta r)\hat{a_{\theta}}\: V/m$ ... free space. The average power $(W)$ crossing the hemispherical shell located at $r = 1\:km,0\leq \theta \leq \pi/2$ is ______.
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions.$$\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omeg...
Milicevic3306
16.0k
points
123
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2667
GATE ECE 2014 Set 1 | Question: 54
For a parallel plate transmission line, let $v$ be the speed of propagation and $Z$ be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in halving of $v$ and no change in $Z$ no changes in $v$ and halving of $Z$ no change in both $v$ and $Z$ halving of both $v$ and $Z$
For a parallel plate transmission line, let $v$ be the speed of propagation and $Z$ be the characteristic impedance. Neglecting fringe effects, a reduction of the spacin...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2014-ec-1
electromagnetics
impedance
+
–
0
votes
0
answers
2668
GATE ECE 2014 Set 1 | Question: 55
The input impedance of a $\dfrac{\lambda}{8}$ section of a lossless transmission line of characteristic impedance $50\: \Omega$ is found to be real when the other end is terminated by a load $Z_{L} (=R + jX)\Omega.$ If $X$ is $30\:\Omega ,$ the value of $R ( \text{in} \:\Omega )$ is _______.
The input impedance of a $\dfrac{\lambda}{8}$ section of a lossless transmission line of characteristic impedance $50\: \Omega$ is found to be real when the other end is...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2014-ec-1
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2669
GATE ECE 2013 | Question: 62
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n-1)}{8}+1$ $\frac{9(9^n-1)}{8}+n$ $\frac{9(9^n-1)}{8}+n^2$
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$
Milicevic3306
16.0k
points
74
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-ec
numerical-ability
arithmetic-series
+
–
0
votes
0
answers
2670
GATE ECE 2013 | Question: 63
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement? The ... Nationalism in India emerged in the context of colonialism. Nationalism in India is homogeneous. Nationalism in India is heterogeneous.
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.Which one of the fo...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-ec
verbal-ability
verbal-reasoning
+
–
0
votes
0
answers
2671
GATE ECE 2013 | Question: 64
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is$(-\infty ,0)$$(0,1)$$(1,\infty )$$(0,\infty )$
Milicevic3306
16.0k
points
65
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-ec
numerical-ability
quadratic-equations
roots
+
–
0
votes
0
answers
2672
GATE ECE 2013 | Question: 65
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-ec
numerical-ability
probability
leap-year
+
–
0
votes
0
answers
2673
GATE ECE 2013 | Question: 55
The state diagram of a system is shown below. A system is described by the state-variable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ ... $\begin{bmatrix} e^{-t}&-te^{-t} \\ 0 &e^{-t} \end{bmatrix}$
The state diagram of a system is shown below. A system is described by the state-variable equations $$\dot{X}= AX+Bu;\:\: y = CX+Du$$The state transition matrix $e^{At}$ ...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-ec
to-be-tagged
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0
answers
2674
GATE ECE 2013 | Question: 56
Choose the grammatically CORRECT sentence: Two and two add four. Two and two become four. Two and two are four. Two and two make four.
Choose the grammatically CORRECT sentence:Two and two add four.Two and two become four.Two and two are four.Two and two make four.
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-ec
verbal-ability
english-grammar
+
–
0
votes
0
answers
2675
GATE ECE 2013 | Question: 57
Statement: You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement? Because I have a nice caller tune. Because I have a better telephone facility. Because a friend in need is a friend indeed. Because you need not pay towards the telephone bills when you give me a ring.
Statement: You can always give me a ring whenever you need.Which one of the following is the best inference from the above statement?Because I have a nice caller tune.Bec...
Milicevic3306
16.0k
points
99
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-ec
verbal-ability
verbal-reasoning
+
–
0
votes
0
answers
2676
GATE ECE 2013 | Question: 58
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on Thursday was $15\%$ higher than that of Monday, then the temperature in $^{\circ}C$ on Thursday was $40$ $43$ $46$ $49$
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on T...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-ec
numerical-ability
percentage
+
–
0
votes
0
answers
2677
GATE ECE 2013 | Question: 59
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
Complete the sentence:Dare _______________ mistakes.committo commitcommittedcommitting
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-ec
verbal-ability
english-grammar
+
–
0
votes
0
answers
2678
GATE ECE 2013 | Question: 60
They were requested not to $\textbf{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$? make out call out dig out fall out
They were requested not to $\textbf{quarrel}$ with others.Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$?make outcall outdig ...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-ec
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2679
GATE ECE 2013 | Question: 61
A car travels $8 \: km$ in the first quarter of an hour, $6\: km$ in the second quarter and $16\: km$ in the third quarter. The average speed of the car in $km$ per hour over the entire journey is $30$ $36$ $40$ $24$
A car travels $8 \: km$ in the first quarter of an hour, $6\: km$ in the second quarter and $16\: km$ in the thirdquarter. The average speed of the car in $km$ per hour ...
Milicevic3306
16.0k
points
77
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-ec
numerical-ability
speed-time-distance
+
–
0
votes
0
answers
2680
GATE ECE 2013 | Question: 49
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. The optimum threshold to achieve minimum bit error rate $(BER)$ is $\frac{1}{2} \\$ $\frac{4}{5} \\$ $1\\$ $\frac{3}{2} $
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below.The optimum threshol...
Milicevic3306
16.0k
points
129
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2013-ec
communications
digital-modulation
basic-electrical-rhythm
+
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