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Recent questions tagged gate2014-ec-4
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GATE ECE 2014 Set 4 | GA Question: 1
Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government. dissent descent decent decadent
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Verbal Aptitude
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gate2014-ec-4
verbal-ability
most-appropriate-word
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2
GATE ECE 2014 Set 4 | GA Question: 2
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat
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Verbal Aptitude
Mar 26, 2018
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gate2014-ec-4
verbal-ability
most-appropriate-word
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3
GATE ECE 2014 Set 4 | GA Question: 3
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’? punished substantiated appreciated chastened
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Verbal Aptitude
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Milicevic3306
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gate2014-ec-4
verbal-ability
most-appropriate-word
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votes
0
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4
GATE ECE 2014 Set 4 | GA Question: 4
Let $f(x,y)=x^n y^m=P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n-m)P$ $2(m-n)P$
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
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gate2014-ec-4
numerical-ability
functions
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0
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5
GATE ECE 2014 Set 4 | GA Question: 5
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
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points
44
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gate2014-ec-4
numerical-ability
arithmetic-series
numerical-answers
0
votes
0
answers
6
GATE ECE 2014 Set 4 | GA Question: 6
Find the next term in the sequence: $13M, 17Q, 19S$, ___ $21W$ $21V$ $23W$ $23V$
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Analytical Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
50
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gate2014-ec-4
analytical-aptitude
logical-reasoning
sequence-series
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votes
0
answers
7
GATE ECE 2014 Set 4 | GA Question: 7
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for ‘good wishes’, which of the following indicates ‘ace the exam’? $\text{MCHTX}$ $\text{MXHTC}$ $\text{XMHCT}$ $\text{XMHTC}$
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Verbal Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
48
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gate2014-ec-4
logical-reasoning
sequence-series
0
votes
0
answers
8
GATE ECE 2014 Set 4 | GA Question: 8
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
43
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gate2014-ec-4
numerical-ability
data-interpretation
0
votes
0
answers
9
GATE ECE 2014 Set 4 | GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The ... all other expenses increased by $20 \%$. What is the percentage increase in total cost for the company in $2013$?
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
36
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gate2014-ec-4
numerical-ability
data-interpretation
pie-chart
0
votes
0
answers
10
GATE ECE 2014 Set 4 | GA Question: 10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
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Quantitative Aptitude
Mar 26, 2018
by
Milicevic3306
15.8k
points
38
views
gate2014-ec-4
numerical-ability
couting
0
votes
0
answers
11
GATE ECE 2014 Set 4 | Question: 1
The series $\Sigma_{n=0}^{\infty} \frac{1}{n!}$ converges to $2 \text{ ln } 2$ $\sqrt{2}$ $2$ $e$
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Calculus
Mar 26, 2018
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Milicevic3306
15.8k
points
41
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gate2014-ec-4
calculus
taylor-series
convergence
0
votes
0
answers
12
GATE ECE 2014 Set 4 | Question: 2
The magnitude of the gradient for the function $f(x,y,z) = x^2 +3y^2 +z^3$ at the point $(1,1,1)$ is ___________.
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
points
39
views
gate2014-ec-4
numerical-answers
vector-analysis
gradient
0
votes
0
answers
13
GATE ECE 2014 Set 4 | Question: 3
Let $X$ be a zero mean unit variance Gaussian random variable. $E[ \mid X \mid ]$ is equal to __________
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Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
50
views
gate2014-ec-4
numerical-answers
vector-analysis
gausss-theorem
random-variable
0
votes
0
answers
14
GATE ECE 2014 Set 4 | Question: 4
If $a$ and $b$ are constants, the most general solution of the differential equation $\frac{d^2x}{dt^2}+2 \frac{dx}{dt}+x=0$ is $ae^{-t}$ $ae^{-t} + bte^{-t}$ $ae^t+bte^{-t}$ $ae^{-2t}$
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Differential Equations
Mar 26, 2018
by
Milicevic3306
15.8k
points
32
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gate2014-ec-4
differential-equations
0
votes
0
answers
15
GATE ECE 2014 Set 4 | Question: 5
The directional derivative of $f(x,y)= \frac{xy}{\sqrt{2}} (x+y)$ at $(1,1)$ in the direction of the unit vector at an angle of $\frac{\pi}{4}$ with $y$-axis, is given by _________.
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Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
views
gate2014-ec-4
vector-analysis
numerical-answers
0
votes
0
answers
16
GATE ECE 2014 Set 4 | Question: 6
The circuit shown in the figure represents a voltage controlled voltage source voltage controlled current source current controlled current source current controlled voltage source
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Analog Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
36
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gate2014-ec-4
analog-circuits
0
votes
0
answers
17
GATE ECE 2014 Set 4 | Question: 7
The magnitude of current (in mA) through the resistor $R_2$ in the figure shown is __________
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
points
36
views
gate2014-ec-4
numerical-answers
electronic-devices
0
votes
0
answers
18
GATE ECE 2014 Set 4 | Question: 8
At $T=300 \:K$, the band gap and the intrinsic carrier concentration of GaAs are $1.42$ eV and $10^6 \: cm^{-3}$, respectively. In order to generate electron hole pairs in GaAs, which one of the wavelength $(\lambda_C)$ ranges of incident radiation, is most suitable? (Given ... $1.62 \: \mu m < \lambda _C < 6.62 \: \mu m$
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Electromagnetics
Mar 26, 2018
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Milicevic3306
15.8k
points
33
views
gate2014-ec-4
electromagnetics
plank's-constant
0
votes
0
answers
19
GATE ECE 2014 Set 4 | Question: 9
In the figure, $\text{ln }(\rho _i)$ is plotted as a function of $1/T$, where $\rho_i$ is the intrinsic resistivity of silicon, $T$ is the temperature, and the plot is almost linear. The slope of the line can be used to estimate band gap ... the sum of electron and hole mobility in silicon $(\mu _n + \mu _p)^{-1}$ intrinsic carrier concentration of silicon $(n_i)$
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Electronic Devices
Mar 26, 2018
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gate2014-ec-4
electronic-devices
intrinsic-and-extrinsic-silicon
0
votes
0
answers
20
GATE ECE 2014 Set 4 | Question: 10
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
points
30
views
gate2014-ec-4
numerical-answers
electronic-devices
0
votes
0
answers
21
GATE ECE 2014 Set 4 | Question: 11
If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it will reduce both the voltage gain and the input impedance reduce the voltage gain and increase the input impedance increase the voltage gain and reduce the input impedance reduce both the voltage gain and the input impedance
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Electromagnetics
Mar 26, 2018
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Milicevic3306
15.8k
points
37
views
gate2014-ec-4
electromagnetics
impedance
0
votes
0
answers
22
GATE ECE 2014 Set 4 | Question: 12
Two silicon diodes, with a forward voltage drop of $0.7 \: V$, are used in the circuit shown in the figure. The range of input voltage $V_i$ for which the output voltage $V_o=V_i$, is $-0.3 \:V < V_i < 1.3 \: V$ $-0.3 \:V < V_i < 2 \: V$ $-1.0 \:V < V_i < 2.0 \: V$ $-1.7 \:V < V_i < 2.7 \: V$
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
33
views
gate2014-ec-4
electronic-devices
intrinsic-and-extrinsic-silicon
0
votes
0
answers
23
GATE ECE 2014 Set 4 | Question: 13
The circuit shown represents a bandpass filter a voltage controlled oscillator an amplitude modulator a monostable multivibrator
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Analog Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
46
views
gate2014-ec-4
analog-circuits
oscillator
0
votes
0
answers
24
GATE ECE 2014 Set 4 | Question: 14
For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then droop rate decreases and acquisition time decreases droop rate decreases and acquisition time increases droop rate increases and acquisition time decreases droop rate increases and acquisition time increases
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Digital Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
24
views
gate2014-ec-4
digital-circuits
sample-and-hold-circuits
0
votes
0
answers
25
GATE ECE 2014 Set 4 | Question: 15
In the circuit shown in the figure, if $C=0$, the expression for $Y$ is $Y=A \overline{B} + \overline{A}B$ $Y=A+B$ $Y=\overline{A} + \overline{B}$ $Y=A \: B$
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Digital Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
50
views
gate2014-ec-4
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
26
GATE ECE 2014 Set 4 | Question: 16
The output $(Y)$ of the circuit shown in the figure is $\overline{A} + \overline{B} +C$ $A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$ $\overline{A} +B+\overline{C}$ $A \cdot B \cdot \overline{C}$
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Digital Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
81
views
gate2014-ec-4
digital-circuits
0
votes
0
answers
27
GATE ECE 2014 Set 4 | Question: 17
A Fourier transform pair is given by $\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$ where $u[n]$ denotes the unit step sequence. The values of $A$ is ____________
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Continuous-time Signals
Mar 26, 2018
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Milicevic3306
15.8k
points
42
views
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
28
GATE ECE 2014 Set 4 | Question: 18
A real-valued signal $x(t)$ limited to the frequency band $\mid f \mid \leq \frac{W}{2}$ is passed through a linear time invariant system whose frequency response is $H(f) = \begin{cases} e^{-j 4 \pi f}, & \mid f \mid \leq \frac{W}{2} \\ 0, & \mid f \mid > \frac{W}{2} \end{cases}.$ The output of the system is $x(t+4)$ $x(t-4)$ $x(t+2)$ $x(t-2)$
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Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
66
views
gate2014-ec-4
continuous-time-signals
linear-time-invariant-systems
0
votes
0
answers
29
GATE ECE 2014 Set 4 | Question: 19
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is _________.
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Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
60
views
gate2014-ec-4
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
30
GATE ECE 2014 Set 4 | Question: 20
In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4$th order all-pole system? $-80$ dB/decade $-40$ dB/decade $+40$ dB/decade $+80$ dB/decade
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Control Systems
Mar 26, 2018
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Milicevic3306
15.8k
points
44
views
gate2014-ec-4
control-systems
bode-and-root-locus-plots
0
votes
0
answers
31
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
45
views
gate2014-ec-4
network-solution-methods
to-be-tagged
0
votes
0
answers
32
GATE ECE 2014 Set 4 | Question: 22
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be Poisson Gaussian Exponential Gamma
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Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
89
views
gate2014-ec-4
vector-analysis
gauss's-theorem
0
votes
0
answers
33
GATE ECE 2014 Set 4 | Question: 23
In a double side-band (DSB) full carrier AM transmission system, if the modulation index is doubled, then the ratio of total sideband power to the carrier power increases by a factor of __________.
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Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
39
views
gate2014-ec-4
numerical-answers
communications
amplitude-modulation
0
votes
0
answers
34
GATE ECE 2014 Set 4 | Question: 24
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \pi \: \Omega$, the magnitude of average power density due to this antenna at a distance of $2$ km from the antenna (in $nW/m^2$) is _________.
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Electromagnetics
Mar 26, 2018
by
Milicevic3306
15.8k
points
52
views
gate2014-ec-4
numerical-answers
electromagnetics
impedance
0
votes
0
answers
35
GATE ECE 2014 Set 4 | Question: 25
Match column A with column B. ... $ 1 \rightarrow R; \: 2 \rightarrow Q; \: 3 \rightarrow P;$
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Electromagnetics
Mar 26, 2018
by
Milicevic3306
15.8k
points
47
views
gate2014-ec-4
electromagnetics
0
votes
0
answers
36
GATE ECE 2014 Set 4 | Question: 26
With initial values $y(0) =y’(0)=1$, the solution of the differential equation $\frac{d^2y}{dx^2}+4 \frac{dy}{dx}+4y=0$ at $x=1$ is ________
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Differential Equations
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
views
gate2014-ec-4
numerical-answers
differential-equations
0
votes
0
answers
37
GATE ECE 2014 Set 4 | Question: 27
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post office is _________
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
59
views
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
0
votes
0
answers
38
GATE ECE 2014 Set 4 | Question: 28
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$? $\frac{-s}{(s^2+s+1)^2}$ $\frac{-(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
55
views
gate2014-ec-4
network-solution-methods
laplace-transform
0
votes
0
answers
39
GATE ECE 2014 Set 4 | Question: 29
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the angle between the hypotenuse and the side is $12^{\circ}$ $36^{\circ}$ $60^{\circ}$ $45^{\circ}$
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Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
39
views
gate2014-ec-4
calculus
maxima-minima
0
votes
0
answers
40
GATE ECE 2014 Set 4 | Question: 35
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device parameters are identical, $kT/q=26 \: mV$, the intrinsic carrier concentration ... $V_{BE1}-V_{BE2})$ is ________.
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Analog Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
60
views
gate2014-ec-4
numerical-answers
analog-circuits
bipolar-junction-transistor
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