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1681
GATE ECE 2010 | Question: 48
Consider the common emitter amplifier shown below with the following circuit parameters: ... The resistance seen by the source $\nu_{s}$ is $258 \; \Omega$ $1258 \; \Omega$ $93 \; \mathrm{k} \Omega$ $\infty$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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1682
GATE ECE 2010 | Question: 49
Consider the common emitter amplifier shown below with the following circuit parameters: ... $\mathrm{C}_{2}$ is $33.9 \mathrm{~Hz}$ $27.1 \mathrm{~Hz}$ $13.6 \mathrm{~Hz}$ $16.9 \mathrm{~Hz}$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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1683
GATE ECE 2010 | Question: 50
The signal flow graph of a system is shown below. The state variable representation of the system can be ...
The signal flow graph of a system is shown below.The state variable representation of the system can be$\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\...
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1684
GATE ECE 2010 | Question: 51
The signal flow graph of a system is shown below. The transfer function of the system is $\frac{s+1}{s^{2}+1}$ $\frac{s-1}{s^{2}+1}$ $\frac{s+1}{s^{2}+s+1}$ $\frac{s-1}{s^{2}+s+1}$
The signal flow graph of a system is shown below.The transfer function of the system is$\frac{s+1}{s^{2}+1}$$\frac{s-1}{s^{2}+1}$$\frac{s+1}{s^{2}+s+1}$$\frac{s-1}{s^{2}+...
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1685
GATE ECE 2010 | Question: 52
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $10 \; \mathrm{kV} / \mathrm{cm}$ $26 \; \mathrm{kV} / \mathrm{cm}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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1686
GATE ECE 2010 | Question: 53
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $6.48 \times 10^{2} \mathrm{~A} / \mathrm{cm}^{2}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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1687
GATE ECE 2010 | Question: 54
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... $V^{-1}$ ) is $10^{10}$ $10^{}$ $1.414 \times 10^{-10}$ $2 \times 10^{20}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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1688
GATE ECE 2010 | Question: 55
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... is $0.5 \times e^{-35}$ $0.5 \times e^{-5}$ $0.5 \times e^{}$ $0.5 \times e^{}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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1689
GATE ECE 2010 | Question: 56
Which of the following options is the closest in meaning to the word below: Circuitous cyclic indirect confusing crooked
Which of the following options is the closest in meaning to the word below:Circuitouscyclicindirectconfusingcrooked
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Verbal Aptitude
gate2010-ec
verbal-aptitude
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1690
GATE ECE 2010 | Question: 57
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed : Worker fallow : land unaware : sleeper wit : jester renovated : house
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.Unemployed :...
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Verbal Aptitude
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verbal-aptitude
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1691
GATE ECE 2010 | Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: If we manage to ___________ our natural resources, we would leave a better planet for our children. uphold restrain cherish conserve
Choose the most appropriate word from the options given below to complete the following sentence:If we manage to ___________ our natural resources, we would leave a bette...
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Verbal Aptitude
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1692
GATE ECE 2010 | Question: 59
Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ____________ his lack of seriousness about the subject. masked belied betrayed suppressed
Choose the most appropriate word from the options given below to complete the following sentence:His rather casual remarks on politics ____________ his lack of seriousne...
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Verbal Aptitude
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verbal-aptitude
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1693
GATE ECE 2010 | Question: 60
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neither hockey nor football is: $2$ $17$ $13$ $3$
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neithe...
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Quantitative Aptitude
gate2010-ec
quantitative-aptitude
venn-diagrams
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1694
GATE ECE 2010 | Question: 61
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments ... of chemical agents in warfare would be undesirable. People in military establishments like to use chemical agents in war.
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to s...
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Verbal Aptitude
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verbal-aptitude
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1695
GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
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Quantitative Aptitude
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1696
GATE ECE 2010 | Question: 63
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long will it take to build the wall? $20$ days $18$ days $16$ days $15$ days
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team...
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Quantitative Aptitude
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quantitative-aptitude
work-time
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1697
GATE ECE 2010 | Question: 64
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?$50$$51$$52$$54$
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Quantitative Aptitude
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1698
GATE ECE 2010 | Question: 65
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive siblings (that is born one after another) is less than $3$ years. ... not the oldest and Saira is not the youngest. There are no twins. In what order were they born (oldest first)? HSIG SGHI lGSH IHSG
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive si...
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Analytical Aptitude
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analytical-aptitude
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1699
GATE ECE 1992 | Question 1.1
Relative to a given fixed tree of a network, Link currents form an independent set Branch voltage form an independent set Link currents form an independent set Branch voltage form an independent set
Relative to a given fixed tree of a network,Link currents form an independent setBranch voltage form an independent setLink currents form an independent setBranch voltage...
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1700
GATE ECE 1992 | Question 1.2
For a $2$-port network to be reciprocal, $z_{11} = z_{22}$ $y_{21} = y_{12}$ $h_{21} = – h_{12}$ $\mathrm{AD}-\mathrm{BC}=0$
For a $2$-port network to be reciprocal,$z_{11} = z_{22}$$y_{21} = y_{12}$$h_{21} = – h_{12}$$\mathrm{AD}-\mathrm{BC}=0$
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1701
GATE ECE 1992 | Question 1.3
For the series $\text{R-L}$ circuit of the given first figure, the partial fissure diagram at a certain frequency is shown in the given second figure. The operating frequency of the circuit is
For the series $\text{R-L}$ circuit of the given first figure, the partial fissure diagram at a certain frequency is shown in the given second figure. The operating frequ...
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1702
GATE ECE 1992 | Question 1.4
For the compensated attenuator of the given figure, the impulse response under the condition $R_{1} C_{1} = R_{2} C_{2}$ is $\frac{R_{2}}{R_{1}+R_{2}}\left[1-e^{-\frac{1}{R_{1} C_{1}}}\right] u(t)$ $\frac{R_{2}}{R_{1}+R_{2}} \delta(t)$ ... $\frac{\mathrm{R}_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}} 1-e^{-\frac{1}{R_{1} C_{1}}} \cdot u(t)$
For the compensated attenuator of the given figure, the impulse response under the condition $R_{1} C_{1} = R_{2} C_{2}$ is$\frac{R_{2}}{R_{1}+R_{2}}\left[1-e^{-\frac{1}{...
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1703
GATE ECE 1992 | Question 1.5
Of the four networks, $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}$ and $\mathrm{N}_{4}$ of the given figure, the networks having identical driving point functions are $\mathrm{N}_{1}$ and $\mathrm{N}_{1}$ $\mathrm{N}_{2}$ and $\mathrm{N}_{4}$ $\mathrm{N}_{1}$ and $\mathrm{N}_{3}$ $\mathrm{N}_{1}$ and $\mathrm{N}_{4}$
Of the four networks, $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}$ and $\mathrm{N}_{4}$ of the given figure, the networks having identical driving point functions a...
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1704
GATE ECE 1992 | Question 1.6
A linear time-invariant system is described by the state variable model \[ \left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right]=\left[\begin{array}{rc} -1 & 0 \\ 0 & -2 \end{array}\right]\ ... \right] \] The system is completely controllable The system is not completely controllable The system is completely observable The system is not completely observable.
A linear time-invariant system is described by the state variable model\[\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{rc}-1 & 0 \\0 & -2\end{...
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1705
GATE ECE 1992 | Question 1.7
A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller. For this process the integral mode improves transient performance the integral mode improves steady-state performance the derivative mode improves transient performance the derivative mode improves steady-state performance.
A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller.For this processthe integral mode improves transie...
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1706
GATE ECE 1992 | Question 1.8
A linear discrete-time system has the characteristic equation, $z^{3}-0.81 z=0$. The system is stable is marginally stable is unstable stability cannot be assessed from the given information.
A linear discrete-time system has the characteristic equation, $z^{3}-0.81 z=0$. The systemis stableis marginally stableis unstablestability cannot be assessed from the g...
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1707
GATE ECE 1992 | Question 1.9
Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$
Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$
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1708
GATE ECE 1992 | Question 1.10
Given a unity feedback system with open-loop transfer function, $G(a)=\frac{K}{s(s+1)(s+2)}$. The root locus plot of the system is of the form.
Given a unity feedback system with open-loop transfer function, $G(a)=\frac{K}{s(s+1)(s+2)}$. The root locus plot of the system is of the form.
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1709
GATE ECE 1992 | Question 1.11
A semiconductor is irradiated with light such that carriers are uniformly generated throughout its volume. The semiconductor is $n$-type with $N_{D}=10^{19}$ per $\mathrm{cm}^{3}$. If the excess electron concentration in the steady state is $\Delta n=10^{15}$ ... $/ \mathrm{cm}^{3} / \mathrm{s}$ cannot be determined as the given data is insufficient.
A semiconductor is irradiated with light such that carriers are uniformly generated throughout its volume. The semiconductor is $n$-type with $N_{D}=10^{19}$ per $\mathrm...
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1710
GATE ECE 1992 | Question 1.12
A $\text{P-N}$ junction series with a $100$ ohms resistor, is forward based so that a current of $100 \mathrm{~mA}$ flows. If the voltage across this combination is instantaneously reversed to $10 \mathrm{~V}$ at $t=0$, the reverse current that flows through the ... $0 \mathrm{~mA}$ $100 \mathrm{~mA}$ $200 \mathrm{~mA}$ $50 \mathrm{~mA}$
A $\text{P-N}$ junction series with a $100$ ohms resistor, is forward based so that a current of $100 \mathrm{~mA}$ flows. If the voltage across this combination is inst...
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1711
GATE ECE 1992 | Question 1.13
An infrared $\text{LED}$ is usually fabricated from $\text{Ge}$ $\mathrm{Si}$ $\text{Ga As}$ $\text{Ga As P.}$
An infrared $\text{LED}$ is usually fabricated from$\text{Ge}$$\mathrm{Si}$$\text{Ga As}$$\text{Ga As P.}$
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1712
GATE ECE 1992 | Question 1.14
In a transistor having finite $B$, the forward bias across the base emitter junction is kept constant and the reverse bias across the collector-base junction is increased. Neglecting the leakage across the collector-base junction and the depletion region generatin current, the base current will ________ (increase/decrease/remain constant).
In a transistor having finite $B$, the forward bias across the base emitter junction is kept constant and the reverse bias across the collector-base junction is increased...
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1713
GATE ECE 1992 | Question 1.15
An $n$-channel $\text{JFET}$ has a pinch-off voltage of $\mathrm{V}_{p}=-5 \mathrm{~V}, \mathrm{~V}_{\mathrm{DS}}(\max )=20 \mathrm{~V}$, and $\delta_{m}=2 \mathrm{~mA} / \mathrm{V}$. The minimum ' $\mathrm{ON}^{\prime}$ ' resistance is ... $\mathrm{V}_{\mathrm{CS}}=-7 \mathrm{~V}$ and $\mathrm{V}_{\mathrm{DS}}=20 \mathrm{~V}$
An $n$-channel $\text{JFET}$ has a pinch-off voltage of $\mathrm{V}_{p}=-5 \mathrm{~V}, \mathrm{~V}_{\mathrm{DS}}(\max )=20 \mathrm{~V}$, and $\delta_{m}=2 \mathrm{~mA} /...
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1714
GATE ECE 1992 | Question 1.16
The $\text{JFET}$ in the circuit shown in the given figure has an $\mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}$ and $\mathrm{V}_{\mathrm{p}}=5 \mathrm{~V}$. The value of the resistance $\mathrm{R}_{\mathrm{s}}$ for a drain current $\mathrm{I}_{\mathrm{DS}}=6.4 \mathrm{~mA}$ is (select the nearest value) $150 \; \mathrm{ohms}$ $470$ ohms $560$ ohms $1$ kilo ohm.
The $\text{JFET}$ in the circuit shown in the given figure has an $\mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}$ and $\mathrm{V}_{\mathrm{p}}=5 \mathrm{~V}$. The value of th...
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1715
GATE ECE 1992 | Question 1.17
An op. amp. has an offset voltage of $1 \mathrm{mV}$ and is ideal in all other respects. If this op. amp. is used in the circuit shown in the given figure, the output voltage will be (select the nearest value) $1 \mathrm{mV}$ $1 \mathrm{~V}$ $\pm 1 \mathrm{~V}$ $0 \mathrm{~V}$.
An op. amp. has an offset voltage of $1 \mathrm{mV}$ and is ideal in all other respects. If this op. amp. is used in the circuit shown in the given figure, the output vol...
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1716
GATE ECE 1992 | Question 1.18
If the transistors in the given figure have high values of $\beta$ and a $V_{B E}$ of $0.65$ volt, the current $I$, flowing through the $2$ kilo ohms resistance will be $\ldots .$
If the transistors in the given figure have high values of $\beta$ and a $V_{B E}$ of $0.65$ volt, the current $I$, flowing through the $2$ kilo ohms resistance will be $...
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1717
GATE ECE 1992 | Question 1.19
The circuit of given figure, uses an ideal op amp. For small positive values of $V_{\text {in' }}$, the circuit works as a halfwave rectifier a differentiator a logarithmic amplifier an exponential amplifier.
The circuit of given figure, uses an ideal op amp. For small positive values of $V_{\text {in' }}$, the circuit works asa halfwave rectifiera differentiatora logarithmic ...
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1718
GATE ECE 1992 | Question 1.20
Assume that the operational amplifier in given figure is ideal. The current, $I$, through the $1 \; \text{K ohm}$ resistor is $\dots$
Assume that the operational amplifier in given figure is ideal. The current, $I$, through the $1 \; \text{K ohm}$ resistor is $\dots$
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1719
GATE ECE 1992 | Question 1.21
The $6 \mathrm{~V}$ Zener diode shown in given figure has zero Zener resistance and a knee current of $5 \mathrm{~mA}$. The minimum value of $R$ so that the voltage across it does not fall below $6 \mathrm{~V}$ is $1.2 $ ohms $80$ ohms $50$ ohms $0$ ohms
The $6 \mathrm{~V}$ Zener diode shown in given figure has zero Zener resistance and a knee current of $5 \mathrm{~mA}$. The minimum value of $R$ so that the voltage acros...
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1720
GATE ECE 1992 | Question 1.22
The logic realized by the circuit shown in given figure is $\mathrm{F}=\mathrm{A} \cdot \mathrm{C}$ $\mathrm{F}=\mathrm{A}+\mathrm{C}$ $\mathrm{F}=\mathrm{B} \cdot \mathrm{C}$ $\mathrm{F}=\mathrm{B}+\mathrm{C}$
The logic realized by the circuit shown in given figure is $\mathrm{F}=\mathrm{A} \cdot \mathrm{C}$$\mathrm{F}=\mathrm{A}+\mathrm{C}$$\mathrm{F}=\mathrm{B} \cdot \mathrm{...
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