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3001
GATE ECE 2017 Set 2 | Question: 53
An electron $(q_1)$ is moving in free space with velocity $10^5$ m/s towards a stationary electron $(q_2)$ far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is ____________$\times 10^{-8}$ ... $e=-1.6\times 10^{-19}$ C, and permittivity $\varepsilon _0=(1/36\pi)\times 10^{-9}$ F/m]
An electron $(q_1)$ is moving in free space with velocity $10^5$ m/s towards a stationary electron $(q_2)$ far away. The closest distance that this moving electron gets t...
admin
46.4k
points
220
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
3002
GATE ECE 2017 Set 2 | Question: 54
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate only in the dominant $TE_{10}$ mode with the operating frequency at least $25 \%$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate onl...
admin
46.4k
points
215
views
admin
asked
Nov 25, 2017
Electromagnetics
gate2017-ec-2
waveguides
electromagnetics
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–
0
votes
0
answers
3003
GATE ECE 2017 Set 2 | Question: 50
The unmodulated carrier power in an AM transmitter is $5$ kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is $50 \%$. If it is reduced to $40 \%$, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is _________
The unmodulated carrier power in an AM transmitter is $5$ kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is $50 \%$...
admin
46.4k
points
207
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
amplitude-modulation
numerical-answers
communications
+
–
0
votes
0
answers
3004
GATE ECE 2017 Set 2 | Question: 12
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _________________.
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop...
admin
46.4k
points
294
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
diodes
numerical-answers
analog-circuits
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–
0
votes
0
answers
3005
GATE ECE 2017 Set 2 | Question: 42
In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely large values of common-emitter current gain $(\beta)$. The collector current $(Ic)$ ... is $0.7$ V and the thermal voltage $V_T = 26$ mV. The output voltage $V_{out}$ (in volts) is ______________
In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely...
admin
46.4k
points
195
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
op-amps
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3006
GATE ECE 2017 Set 2 | Question: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system ou...
admin
46.4k
points
184
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
transfer-function
linear-time-invariant-systems
numerical-answers
control-systems
+
–
0
votes
0
answers
3007
GATE ECE 2017 Set 1 | Question: 14
The Miller effect in the context of a Common Emitter amplifier explains An increase in the low-frequency cutoff frequency An increase in the high-frequency cutoff frequency A decrease in the low-frequency cutoff frequency A decrease in the high -frequency cutoff frequency
The Miller effect in the context of a Common Emitter amplifier explainsAn increase in the low-frequency cutoff frequencyAn increase in the high-frequency cutoff frequency...
admin
46.4k
points
532
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
amplifier
analog-circuits
+
–
0
votes
0
answers
3008
GATE ECE 2017 Set 1 | Question: 23
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at the rate of $2000$ symbols per second, for which of the following cases is the inter symbol interference zero?
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at t...
admin
46.4k
points
530
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
digital-communication
communications
+
–
0
votes
0
answers
3009
GATE ECE 2017 Set 1 | Question: 2
The rank of the matrix $\textbf{M} = \begin{bmatrix} 5&10&10 \\ 1 &0 &2 \\ 3&6&6 \end{bmatrix}$ is $0$ $1$ $2$ $3$
The rank of the matrix $$\textbf{M} = \begin{bmatrix} 5&10&10 \\ 1 &0 &2 \\ 3&6&6 \end{bmatrix}$$ is$0$$1$$2$$3$
admin
46.4k
points
526
views
admin
asked
Nov 17, 2017
Linear Algebra
gate2017-ec-1
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
3010
GATE ECE 2017 Set 2 | Question: 41
In the circuit shown, transistors $Q_1$ and $Q_2$ are biased at a collector current of $2.6$ mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of $26$ mV, the magnitude of voltage gain $V_0/V_s$ in the mid-band frequency range is __________(up to second decimal place).
In the circuit shown, transistors $Q_1$ and $Q_2$ are biased at a collector current of $2.6$ mA. Assuming that transistor current gains are sufficiently large to assume c...
admin
46.4k
points
168
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3011
GATE ECE 2017 Set 2 | Question: 35
Consider the parallel combination of two LTI systems shown in the figure. The impulse responses of the systems are $ \begin{array} {} h_1(t)=2\delta (t+2)-3\delta (t+1) \\ h_2(t)=\delta (t-2). \end{array}$ If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
Consider the parallel combination of two LTI systems shown in the figure.The impulse responses of the systems are $$ \begin{array} {} h_1(t)=2\delta (t+2)-3\delta (t+1) \...
admin
46.4k
points
167
views
admin
asked
Nov 25, 2017
Continuous-time Signals
gate2017-ec-2
impulse-response
numerical-answers
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
3012
GATE ECE 2017 Set 2 | Question: 20
Which of the following statements is incorrect? Lead compensator is used to reduce the settling time. Lag compensator is used to reduce the steady state error. Lead compensator may increase the order of a system. Lag compensator always stabilizes an unstable system.
Which of the following statements is incorrect?Lead compensator is used to reduce the settling time.Lag compensator is used to reduce the steady state error.Lead compensa...
admin
46.4k
points
236
views
admin
asked
Nov 23, 2017
Control Systems
gate2017-ec-2
lag-lead-compensation
control-systems
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–
0
votes
0
answers
3013
GATE ECE 2017 Set 2 | GA Question: 10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. Which of the following is the steepest path leaving from $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ ...
admin
46.4k
points
220
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
data-interpretation
contour-plots
+
–
0
votes
0
answers
3014
GATE ECE 2017 Set 2 | Question: 24
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ($b>a$) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure. For some charge placed on this structure, the potential and surface electric ... $E_a<E_b$ $V_a>V_b$ and $E_a>E_b$ $V_a=V_b$ and $E_a>E_b$ $V_a>V_b$ and $E_a=E_b$
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ($b>a$) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure...
admin
46.4k
points
216
views
admin
asked
Nov 23, 2017
Electromagnetics
gate2017-ec-2
electromagnetics
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–
0
votes
0
answers
3015
GATE ECE 2017 Set 2 | Question: 51
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier frequency is $20$ kHz, the instantaneous frequency(in kHz) at $t=0.5$ ms is ____________
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier f...
admin
46.4k
points
123
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
numerical-answers
communications
+
–
0
votes
0
answers
3016
GATE ECE 2017 Set 2 | Question: 37
For a particular intensity of incident light on a silicon $pn$ junction solar cell, the photocurrent density $(J_L)$ is $2.5 mA/cm^2$ and the open-circuit voltage ($V_{oc}$) is $0.451$ V. Consider thermal voltage ($V_T$) to ... the incident light is increased by $20$ times, assuming that the temperature remains unchanged, $V_{oc}$ (in volts) will be ____________
For a particular intensity of incident light on a silicon $pn$ junction solar cell, the photocurrent density $(J_L)$ is $2.5 mA/cm^2$ and the open-circuit voltage ($V_{oc...
admin
46.4k
points
110
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
p-n-junction
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3017
GATE ECE 2017 Set 2 | Question: 40
Assuming that transistors $M_1$ and $M_2$ are identical and have a threshold voltage of $1$ V, the state of transistors $M_1$ and $M_2$ are respectively Saturation, Saturation Linear, Linear Linear, Saturation Saturation, Linear
Assuming that transistors $M_1$ and $M_2$ are identical and have a threshold voltage of $1$ V, the state of transistors $M_1$ and $M_2$ are respectivelySaturation, Satura...
admin
46.4k
points
104
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
transistor
analog-circuits
+
–
0
votes
0
answers
3018
GATE ECE 2017 Set 2 | Question: 15
For the circuit shown in the figure, P and Q are the inputs and Y is the output. The logic implemented by the circuit is XNOR XOR NOR OR
For the circuit shown in the figure, P and Q are the inputs and Y is the output.The logic implemented by the circuit isXNOR XORNOROR
admin
46.4k
points
180
views
admin
asked
Nov 23, 2017
Number Representations
gate2017-ec-2
logic-gates
digital-circuits
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–
0
votes
0
answers
3019
GATE ECE 2017 Set 2 | Question: 13
In the figure, $D1$ is a real silicon $pn$ junction diode with a drop of $0.7V$ under forward bias condition and $D2$ is a Zener diode breakdown voltage of $-6.8V$. The input $V_{in}(t)$ is a periodic square wave of period $T$ ... $-20.5 V$ $6.1 V$ and $-21.9 V$ $7.5 V$ and $-21.2 V$ $6.1 V$ and $-22.6 V$
In the figure, $D1$ is a real silicon $pn$ junction diode with a drop of $0.7V$ under forward bias condition and $D2$ is a Zener diode breakdown voltage of $-6.8V$. The i...
admin
46.4k
points
179
views
admin
asked
Nov 23, 2017
Electronic Devices
gate2017-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
3020
GATE ECE 2017 Set 2 | Question: 7
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-stop filter
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-s...
admin
46.4k
points
179
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
3021
GATE ECE 2017 Set 2 | Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
admin
46.4k
points
171
views
admin
asked
Nov 23, 2017
Calculus
gate2017-ec-2
numerical-answers
calculus
maxima-minima
+
–
0
votes
0
answers
3022
GATE ECE 2017 Set 2 | Question: 3
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
admin
46.4k
points
167
views
admin
asked
Nov 23, 2017
Vector Analysis
gate2017-ec-2
vector-in-planes
numerical-answers
vector-analysis
+
–
0
votes
0
answers
3023
GATE ECE 2017 Set 2 | Question: 5
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\text{amplitude of voltage across the resistor}}$ is ___________.
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\tex...
admin
46.4k
points
167
views
admin
asked
Nov 23, 2017
Network Solution Methods
gate2017-ec-2
numerical-answers
network-solution-methods
sinusoidal
+
–
0
votes
0
answers
3024
GATE ECE 2017 Set 2 | Question: 1
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0& 0& 1& -1& \end{bmatrix}$ is ________.
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0&...
admin
46.4k
points
166
views
admin
asked
Nov 23, 2017
Linear Algebra
gate2017-ec-2
linear-algebra
matrices
rank-of-matrix
numerical-answers
+
–
0
votes
0
answers
3025
GATE ECE 2017 Set 2 | GA Question: 3
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking milkshake and $S$ is drinking a beer. What must be checked to ensure that the rule is ... $\text{S's}$ age Only $\text{P's}$ drink, $\text{Q's}$ drink and $\text{S's}$ age
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking ...
admin
46.4k
points
154
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
logical-reasoning
+
–
0
votes
0
answers
3026
GATE ECE 2017 Set 2 | GA Question: 5
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Physics $(186)$, and Mathematics $(295)$. Chemistry and Physics $(83)$, Chemistry and ... Physics and Mathematics $(63)$. How many students are taking all $3$ subjects? $37$ $43$ $47$ $53$
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Ph...
admin
46.4k
points
153
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
venn-diagrams
+
–
0
votes
0
answers
3027
GATE ECE 2017 Set 2 | Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
For the system shown in the figure, $Y(s)/X(s)$ = ___________
admin
46.4k
points
152
views
admin
asked
Nov 23, 2017
Control Systems
gate2017-ec-2
numerical-answers
control-systems
+
–
0
votes
0
answers
3028
GATE ECE 2017 Set 2 | Question: 8
The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $y(t)=\int_{t-T}^{t}x(u) du.$ The system is linear and time-variant linear and time-invariant non-linear and time-variant non-linear and time-invariant
The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $$y(t)=\int_{t-T}^{t}x(u) du.$$ The system islinear and time-variantlinear and time...
admin
46.4k
points
147
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
3029
GATE ECE 2017 Set 2 | Question: 19
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&-9 \end{bmatrix}\begin{bmatrix} x_1(t)\\ x_2(t) \end{bmatrix}+\begin{bmatrix} 0\\ 45 \end{bmatrix} u(t)$ , with ... function. The value of $\underset{t\rightarrow \infty }{\lim}\left | \sqrt{x_1^2(t)+x_2^2(t)} \right |$ is __________.
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&-9 \end{bmatrix}\begin{bmatrix} x_1(t...
admin
46.4k
points
145
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
discrete-time-signals
numerical-answers
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
3030
GATE ECE 2017 Set 2 | Question: 25
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is _________
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is ...
admin
46.4k
points
144
views
admin
asked
Nov 23, 2017
Electromagnetics
gate2017-ec-2
transmision-line
numerical-answers
electromagnetics
+
–
0
votes
0
answers
3031
GATE ECE 2017 Set 2 | Question: 28
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k_2$ and $k_3$, respectively, are $0.3, -2.5, 0.5$ $0.0, 3.0, 2.0$ $0.3, 0.33, 0.5$ $4.0, 3.0, 2.0$
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k...
admin
46.4k
points
143
views
admin
asked
Nov 23, 2017
Vector Analysis
gate2017-ec-2
vector-analysis
+
–
0
votes
0
answers
3032
GATE ECE 2017 Set 2 | GA Question: 6
If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mutually antagonistic parts and the ... impartial perspective. An intimate association offers an impartial perspective. Actors are typically associated with the impartial recording of matters.
“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mu...
admin
46.4k
points
143
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-aptitude
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
3033
GATE ECE 2017 Set 2 | Question: 10
An $npn$ bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base-collector junction is increased, then the effective base width increases and common-emitter current gain ... width decreases and common-emitter current gain increases the effective base width decreases and common-emitter current gain decreases
An $npn$ bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base-collector junction is increased, then the effective base...
admin
46.4k
points
142
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
3034
GATE ECE 2017 Set 2 | Question: 14
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of the collector-to-emitter voltage $V_{CE}$ (in volt) is ____________
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of t...
admin
46.4k
points
137
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3035
GATE ECE 2017 Set 2 | Question: 17
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latch both read and write operations can be performed simultaneously
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latchboth read and write operations can be performed simult...
admin
46.4k
points
134
views
admin
asked
Nov 23, 2017
Digital Circuits
gate2017-ec-2
semiconductor
digital-circuits
+
–
0
votes
0
answers
3036
GATE ECE 2017 Set 2 | GA Question: 1
The ninth and the tenth of this month are Monday and Tuesday________. figuratively retrospectively respectively rightfully
The ninth and the tenth of this month are Monday and Tuesday________.figurativelyretrospectivelyrespectivelyrightfully
admin
46.4k
points
131
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
3037
GATE ECE 2017 Set 2 | GA Question: 4
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She then goes North for $6$ km. How far is she from point $P$, and in which direction ... to reach point $P$? $\text{8 km, East}$ $\text{12 km, North}$ $\text{6k m, East}$ $\text{10 km, North}$
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She...
admin
46.4k
points
127
views
admin
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Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
direction-sense
+
–
0
votes
0
answers
3038
GATE ECE 2017 Set 1 | Question: 1
Consider the 5 $\times$ 5 matrix $\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$ It is given that A has only one real eigenvalue. Then the real eigenvalue of A is $-2.5$ $0$ $15$ $25$
Consider the 5 $\times$ 5 matrix$$\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$$It is given that A has only one real eigenv...
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46.4k
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389
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admin
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Nov 17, 2017
Linear Algebra
gate2017-ec-1
linear-algebra
matrices
eigen-values
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–
1
votes
0
answers
3039
GATE ECE 2017 Set 1 | Question: 27
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal places) is _________
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal...
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46.4k
points
346
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admin
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Nov 17, 2017
Vector Analysis
gate2017-ec-1
vector-analysis
numerical-answers
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–
0
votes
0
answers
3040
GATE ECE 2017 Set 2 | Question: 4
The residues of a function $f(z)=\frac1{(z-4)(z+1)^3 }$ are $\frac{-1}{27}$ and $\frac{-1}{125} \\$ $\frac{1}{125}$ and $\frac{-1}{125} \\$ $\frac{-1}{27}$ and $\frac{1}{5} \\$ $\frac{1}{125}$and $\frac{-1}{5}$
The residues of a function $$f(z)=\frac1{(z-4)(z+1)^3 }$$are$\frac{-1}{27}$ and $\frac{-1}{125} \\$$\frac{1}{125}$ and $\frac{-1}{125} \\$$\frac{-1}{27}$ and $\frac{1}...
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46.4k
points
119
views
admin
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Nov 23, 2017
Complex Analysis
gate2017-ec-2
complex-analysis
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