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Recent questions tagged gate2015-ec-2
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GATE ECE 2015 Set 2 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Dhoni, as well as the other team members of Indian team,______ present on the occasion. were was has have
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Verbal Aptitude
Mar 28, 2018
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gate2015-ec-2
verbal-ability
most-appropriate-word
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0
answers
2
GATE ECE 2015 Set 2 | GA Question: 2
Choose the word most similar in meaning to the given word: Awkward Inept Graceful Suitable Dreadful
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
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36
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gate2015-ec-2
verbal-ability
most-appropriate-word
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3
GATE ECE 2015 Set 2 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
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51
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gate2015-ec-2
verbal-ability
english-grammar
0
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0
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4
GATE ECE 2015 Set 2 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches $M, N, O,$ and $P,$ in that order. ... $km$ is minimum is M N O P
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
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70
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gate2015-ec-2
numerical-ability
data-interpretation
tabular-data
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0
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5
GATE ECE 2015 Set 2 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
49
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gate2015-ec-2
numerical-ability
probability
0
votes
0
answers
6
GATE ECE 2015 Set 2 | GA Question: 6
In the following sentence certain parts are underlined and marked P,Q and R. One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error. Choose D as your answer if there is no error. ... $P$ $Q$ $R$ $\text{no error}$
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
55
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gate2015-ec-2
verbal-ability
english-grammar
0
votes
0
answers
7
GATE ECE 2015 Set 2 | GA Question: 7
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows. Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film ... Only conclusion I follows Only conclusion II follows Neither conclusion I nor II follows Both conclusion I and II follows
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Analytical Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
54
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gate2015-ec-2
analytical-aptitude
logical-reasoning
statements-follow
0
votes
0
answers
8
GATE ECE 2015 Set 2 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
61
views
gate2015-ec-2
numerical-answers
numerical-ability
speed-time-distance
0
votes
0
answers
9
GATE ECE 2015 Set 2 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
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Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
47
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gate2015-ec-2
numerical-ability
polynomials
0
votes
0
answers
10
GATE ECE 2015 Set 2 | GA Question: 10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's Budget. ... arts education nowadays (iii) and (iv) (i) and (iv) (i),(ii) and (iv) (i) and (iii)
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Verbal Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
43
views
gate2015-ec-2
verbal-ability
verbal-reasoning
passage-reading
0
votes
0
answers
11
GATE ECE 2015 Set 2 | Question: 1
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is $\dfrac{a-b}{s} \\$ $\dfrac{e^{s}(a-b)}{s} \\$ $\dfrac{e^{-as}-e^{-bs}}{s} \\$ $\dfrac{e^{s(a-b)}}{s}$
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
73
views
gate2015-ec-2
network-solution-methods
laplace-transform
0
votes
0
answers
12
GATE ECE 2015 Set 2 | Question: 2
The value of $x$ for which all the eigen-values of the matrix given below are real is $\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$ $5+j$ $5-j$ $1-5j$ $1+5j$
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Linear Algebra
Mar 28, 2018
by
Milicevic3306
15.8k
points
55
views
gate2015-ec-2
linear-algebra
matrices
eigen-values
0
votes
0
answers
13
GATE ECE 2015 Set 2 | Question: 3
Let $f(z)=\dfrac{az+b}{cz+d}.$ If $f(z_{1})=f(z_{2})$ for all $z_{1}\neq z_{2},a=2,b=4$ and $c=5,$ then $d$ should be equal to ________.
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Complex Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
36
views
gate2015-ec-2
numerical-answers
complex-analysis
0
votes
0
answers
14
GATE ECE 2015 Set 2 | Question: 4
The general solution of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{1+\cos 2y}{1-\cos 2x}$ is $ \tan y – \cot x = c\:\text{(c is a constant)}$ $\tan x – \cot y = c\:\text{(c is a constant)}$ $\tan y + \cot x = c\:\text{(c is a constant)}$ $\tan x + \cot y = c\:\text{(c is a constant)}$
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Differential Equations
Mar 28, 2018
by
Milicevic3306
15.8k
points
29
views
gate2015-ec-2
differential-equations
0
votes
0
answers
15
GATE ECE 2015 Set 2 | Question: 5
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the four choices given. Notation: $C$ is the set of complex numbers, ܴ$R$ is the set of purely ... $x(t)\in P$ $x(t)\in (C-R)$ the information given is not sufficient to draw any conclusion about $x(t)$
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
58
views
gate2015-ec-2
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
16
GATE ECE 2015 Set 2 | Question: 6
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
28
views
gate2015-ec-2
numerical-answers
network-solution-methods
0
votes
0
answers
17
GATE ECE 2015 Set 2 | Question: 7
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
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Network Solution Methods
Mar 28, 2018
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Milicevic3306
15.8k
points
66
views
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
0
votes
0
answers
18
GATE ECE 2015 Set 2 | Question: 8
The $2$-port admittance matrix of the circuit shown is given by $\begin{bmatrix}0.3 &0.2 \\0.2 &0.3 \end{bmatrix}$ $\begin{bmatrix} 15&5 \\5 &15 \end{bmatrix}$ $\begin{bmatrix} 3.33&5 \\5 &3.33 \end{bmatrix}$ $\begin{bmatrix} 0.3&0.4 \\0.4 &0.3 \end{bmatrix}$
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2015-ec-2
analog-circuits
0
votes
0
answers
19
GATE ECE 2015 Set 2 | Question: 9
An $n$-type silicon sample is uniformly illuminated with light which generates $10^{20}$ electron-hole pairs per $cm^{3}$ per second. The minority carrier lifetime in the sample is $1\mu s$. In the steady state, the hole concentration in the sample is approximately $10^{x}$, where $x$ is an integer. The value of $x$ is _______.
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
points
71
views
gate2015-ec-2
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
0
votes
0
answers
20
GATE ECE 2015 Set 2 | Question: 10
A piece of silicon is doped uniformly with phosphorous with a doping concentration of $10^{16}/cm^{3}.$ The expected value of mobility versus doping concentration for silicon assuming full dopant ionization is shown below. The charge of an electron is $1.6 \times 10^{-19} \:C.$ The conductivity $\text{(in S } cm^{-1})$ of the silicon sample at $300\:K$ is _______.
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Electronic Devices
Mar 28, 2018
by
Milicevic3306
15.8k
points
34
views
gate2015-ec-2
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
0
votes
0
answers
21
GATE ECE 2015 Set 2 | Question: 11
If the circuit shown has to function as a clamping circuit, then which one of the following conditions should be satisfied for the sinusoidal signal of period $T?$ $RC \ll T$ $RC = 0.35\: T$ $RC \approx T$ $RC \gg T$
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2015-ec-2
analog-circuits
clamping-circuits
0
votes
0
answers
22
GATE ECE 2015 Set 2 | Question: 12
In the circuit shown, $V_{0} = V_{0A}$ for switch $SW$ in position $A$ and $V_{0} = V_{0B}$ for $SW$ in position $B$. Assume that the opamp is ideal. The value of $\dfrac{V_{0B}}{V_{0A}}$ is ___________.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
30
views
gate2015-ec-2
numerical-answers
analog-circuits
op-amps
0
votes
0
answers
23
GATE ECE 2015 Set 2 | Question: 13
In the bistable circuit shown, the ideal opamp has saturation levels of $\pm\: 5\: V.$ The value of $R_{1} \text{(in}\: k\Omega)$ that gives a hysteresis width of $500\: mV$ is ________.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
57
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gate2015-ec-2
numerical-answers
analog-circuits
op-amps
0
votes
0
answers
24
GATE ECE 2015 Set 2 | Question: 14
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively, NOR, OR OR, NAND NAND, OR AND,NAND
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Digital Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
71
views
gate2015-ec-2
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
25
GATE ECE 2015 Set 2 | Question: 15
In an $8085$ microprocessor, which one of the following instructions changes the content of the accumulator? MOV B, M PCHL RNZ SBI BEH
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Digital Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
61
views
gate2015-ec-2
digital-circuits
microprocessor-8085
0
votes
0
answers
26
GATE ECE 2015 Set 2 | Question: 16
A mod-$n$ counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of $n$ is _______.
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Digital Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
102
views
gate2015-ec-2
numerical-answers
digital-circuits
sequential-circuit
counters
0
votes
0
answers
27
GATE ECE 2015 Set 2 | Question: 17
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$ ... ݆$j\Omega$ axis a parallel strip not containing the ݆$j\Omega$ axis the entire $s$- plane a half plane containing the ݆$j\Omega$ axis
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
75
views
gate2015-ec-2
network-solution-methods
laplace-transform
0
votes
0
answers
28
GATE ECE 2015 Set 2 | Question: 18
Two causal discrete-time signals $x[n]$ and $y[n]$ are related as $y[n] = \displaystyle{}\sum _{m=0}^{n} x[m]$. If the $z$-transform of $y[n]$ is $\dfrac{2}{z(z-1)^{2}},$ the value of $x[2]$ is _______.
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
50
views
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
0
votes
0
answers
29
GATE ECE 2015 Set 2 | Question: 19
By performing cascading and/or summing/differencing operations using transfer function blocks $G_{1}(s )$ and $G_{2}(s),$ one CANNOT realize a transfer function of the form $G_{1}(s)G_{2}(s) \\$ $\dfrac{G_{1}(s)}{G_{2}(s)} \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} + G_{2}(s)\right) \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} - G_{2}(s)\right)$
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
135
views
gate2015-ec-2
network-solution-methods
transfer-function
0
votes
0
answers
30
GATE ECE 2015 Set 2 | Question: 20
For the signal flow graph shown in the figure, the value of $\dfrac{C(s)}{R(s)}$ is $\dfrac{G_{1}G_{2}G_{3}G_{4}}{1 - G_{1}G_{2}H_{1} - G_{3}G_{4}H_{2} - G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}} \\$ ... $\dfrac{1}{1 - G_{1}G_{2}H_{1} - G_{3}G_{4}H_{2} - G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}}$
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Control Systems
Mar 28, 2018
by
Milicevic3306
15.8k
points
50
views
gate2015-ec-2
control-systems
signal-flow-graph
0
votes
0
answers
31
GATE ECE 2015 Set 2 | Question: 21
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________.
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
57
views
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
32
GATE ECE 2015 Set 2 | Question: 22
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is $31.8\: dB,$ the number of levels in the quantizer is __________.
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
33
GATE ECE 2015 Set 2 | Question: 23
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ ... $\dfrac{15}{2}\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
51
views
gate2015-ec-2
continuous-time-signals
sampling-theorem
0
votes
0
answers
34
GATE ECE 2015 Set 2 | Question: 24
In a source free region in vacuum, if the electrostatic potential $\varphi = 2x^{2} + y^{2} + cz^{2},$ the value of constant ܿ$c$ must be _______.
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
61
views
gate2015-ec-2
numerical-answers
electromagnetics
0
votes
0
answers
35
GATE ECE 2015 Set 2 | Question: 25
The electric field of a uniform plane electromagnetic wave is $\overrightarrow{E} = \left(\overrightarrow{a}_{x} + j 4 \overrightarrow{a}_{y}\right) \text{exp }[j(2\pi \times 10^{7}t – 0.2z)].$ The polarization of the wave is right handed circular right handed elliptical left handed circular left handed elliptical
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
37
views
gate2015-ec-2
electromagnetics
0
votes
0
answers
36
GATE ECE 2015 Set 2 | Question: 26
Consider the differential equation $\dfrac{\mathrm{d} x }{\mathrm{d} t} = 10 – 0.2x$ with initial condition $x(0) = 1$. The response $x(t)$ for $t>0$ is $2-e^{-0.2t}$ $2-e^{0.2t}$ $50-49e^{-0.2t}$ $50-49e^{0.2t}$
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in
Differential Equations
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2015-ec-2
differential-equations
0
votes
0
answers
37
GATE ECE 2015 Set 2 | Question: 27
The value of the integral $\int_{-\infty}^{\infty} 12\cos(2\pi t) \dfrac{\sin(4\pi t)}{4 \pi t}dt$ is _________.
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in
Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
74
views
gate2015-ec-2
numerical-answers
calculus
definite-integrals
0
votes
0
answers
38
GATE ECE 2015 Set 2 | Question: 28
If $C$ denotes the counterclockwise unit circle, the value of the contour integral $\dfrac{1}{2\pi j}\oint_{C} Re\{z\}dz$ is __________.
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Complex Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
50
views
gate2015-ec-2
numerical-answers
complex-analysis
0
votes
0
answers
39
GATE ECE 2015 Set 2 | Question: 29
Let the random variable $X$ represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of $X$ is _______.
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
views
gate2015-ec-2
numerical-answers
probability-and-statistics
probability
random-variable
expectation
0
votes
0
answers
40
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
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in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
43
views
gate2015-ec-2
numerical-answers
network-solution-methods
nortons
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