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Recent questions tagged gate2014-ee-2

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41
GATE Electrical 2014 Set 2 | Question: 9
Consider an LTI system with transfer function $H(s)=\frac{1}{s(s+4)}$ If the input to the system is $ \cos(3t)$ and the steady state output is $A \sin(3t+\alpha )$ , then the value of $A$ is $1/30$ $1/15$ $3/4$ $4/3$
Consider an LTI system with transfer function $$H(s)=\frac{1}{s(s+4)}$$ If the input to the system is $ \cos(3t)$ and the steady state output is $A \sin(3t+\alpha )$ , th...
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GATE Electrical 2014 Set 2 | Question: 5
Consider the differential equation $x^2\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-y=0$. Which of the following is a solution to this differential equation for $x>0$? $e^x$ $x^2$ $1/x$ $\ln x$
Consider the differential equation $x^2\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-y=0$. Which of the following is a solution to this differential equation for $x>0$?$e^x$$x^2$$1/...
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GATE Electrical 2014 Set 2 | Question: 6
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are $380$ $μH$ and $240$ $μH$. Their mutual inductance in $μH$ is ________
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are $380$ $μH$ and $240$ $μH$. Their mutual in...
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GATE Electrical 2014 Set 2 | Question: 12
A single phase, $50$ $kVA$, $1000V$/$100V$ two winding transformer is connected as an autotransformer as shown in the figure. The $kVA$ rating of the autotransformer is _____________.
A single phase, $50$ $kVA$, $1000V$/$100V$ two winding transformer is connected as an autotransformer as shown in the figure.The $kVA$ rating of the autotransformer is __...
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GATE Electrical 2014 Set 2 | Question: 10
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by $e^{-3t}u(t)$ $2e^{-3t}u(t)$ $e^{-5t}u(t)$ $2e^{-5t}u(t)$
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by$e^{...
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GATE Electrical 2014 Set 2 | Question: 3
Minimum of the real valued function $f(x)=(x-1)^{2/3}$ occurs at $x$ equal to $-\infty$ $0$ $1$ $\infty$
Minimum of the real valued function $f(x)=(x-1)^{2/3}$ occurs at $x$ equal to$-\infty$$0$$1$$\infty$
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GATE Electrical 2014 Set 2 | Question: 4
All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ are purely imaginary. real and non-negative on the unit circle. equal in real and imaginary parts.
All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ arepurely imaginary.real and non-negativeon the unit circle.equal in real and imaginary part...
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GATE Electrical 2014 Set 2 | Question: 2
Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. The probability of the face with three dots showing up is ________.
Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. The probability of the face with three dots showing up i...
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GATE Electrical 2014 Set 2 | Question: 1
Which one of the following statements is true for all real symmetric matrices? All the eigenvalues are real. All the eigenvalues are positive. All the eigenvalues are distinct. Sum of all the eigenvalues is zero.
Which one of the following statements is true for all real symmetric matrices?All the eigenvalues are real.All the eigenvalues are positive.All the eigenvalues are distin...
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GATE Electrical 2014 Set 2 | GA Question: 10
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$? $6:22 \: a.m.$ $6:27 \: a.m.$ $6:38 \: a.m.$ $6:45 \: a.m.$
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$?$6:22 \: a.m.$$6:27 \: a.m.$$6:38 \: a...
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GATE Electrical 2014 Set 2 | GA Question: 8
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include $2,4$ $2,14$ $4,52$ $14,52$
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include$2,4$$2,14$$4,52$$14,52$
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GATE Electrical 2014 Set 2 | GA Question: 4
What is the average of all multiples of $10$ from $2$ to $198?$ $90$ $100$ $110$ $120$
What is the average of all multiples of $10$ from $2$ to $198?$$90$$100$$110$$120$
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GATE Electrical 2014 Set 2 | GA Question: 3
Match the columns: ... $1:P, 2:Q, 3:R, 4:S$ $1:Q, 2:R, 3:S, 4:P$ $1:S, 2:P, 3:R, 4:Q$
Match the columns:$\begin{array}{llll} & \text{Column 1} & & \text{Column 2} \\ 1. & \text{eradicate} & P. & \text{misrepresent} \\ 2. & \text{distort} & Q. & \text{soak ...
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GATE Electrical 2014 Set 2 | GA Question: 2
Who ___________ was coming to see us this evening? you said did you say did you say that had you said
Who ___________ was coming to see us this evening?you saiddid you saydid you say thathad you said
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