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1
GATE2016129
Let $A$ be a $4 \times 3$ real matrix with rank $2$. Which one of the following statement is TRUE? Rank of $A^{T} A$ is less than $2$. Rank of $A^{T} A$ is equal to $2$. Rank of $A^{T} A$ is greater than $2$. Rank of $A^{T} A$ can be any number between $1$ and $3$.
asked
Jan 30, 2017
in
Calculus
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
numberofnonzerorows
gaussreduction
gausselimination
0
votes
0
answers
2
GATE20125
The impedance looking into nodes $1$ and $2$ in the given circuit is $50 \: \Omega$ $100 \: \Omega$ $5 \: \Omega$ $10.1 \: \Omega$
asked
Mar 24, 2018
in
new
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
3
GATE2015244
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle 120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is $173.2\angle 60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle 60^{\circ}$ $100.0\angle 120^{\circ}$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
0
votes
0
answers
4
GATE2015247
A threewinding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$. If the magnetizing current is neglected, and the currents in two windings are $\bar{I}_{2}=2\angle 30^{\circ}$ ... $1\angle 90^{\circ}$ $1\angle 270^{\circ}$ $4\angle 90^{\circ}$ $4\angle 270^{\circ}$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
0
votes
0
answers
5
GATE20151GA5
Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability that the sum of two numbers equal $16$? $0.20$ $0.25$ $0.30$ $0.33$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
samplespace
events
0
votes
0
answers
6
GATE20151GA9
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75$% chance of passing in at least one, a $50$% chance of passing in at least two and a $40$% chance of passing in ... $I$ is true. Only relation $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
events
samplespace
0
votes
0
answers
7
GATE2016251
Three singlephase transformers are connected to form a deltastar threephase transformer of $110$ kV/ $11$ kV. The transformer supplies at $11$ kV a load of $8$ MW at $0.8$ p.f. lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is $1 : 10\sqrt{3}$ $10\sqrt{3} : 1$ $1 : 10$ $\sqrt{3} : 10$
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
deltastarconnections
transformerlosses
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