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Most viewed questions in Engineering Mathematics
2
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1
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2014-ee-2
probability-and-statistics
probability
+
–
1
votes
1
answer
2
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2014-ee-2
linear-algebra
eigen-values
+
–
0
votes
0
answers
3
GATE Electrical 2016 Set 2 | Question: 6
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE? $f(z)$ is both continuous and analytic $f(z)$ is continuous but not analytic $f(z)$ is not continuous but is analytic $f(z)$ is neither continuous nor analytic
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE?$f(z)$ is both continuo...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Complex Variables
gate2016-ee-2
complex-variables
+
–
0
votes
0
answers
4
GATE Electrical 2014 Set 1 | Question: 17
In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of only one root at the origin Imaginary roots only positive real roots only negative real roots
In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence ofonl...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Calculus
gate2014-ee-1
calculus
polynomial
routh-hurwitz-array
+
–
0
votes
1
answer
5
GATE Electrical 2021 | Question: 1
Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& -p \end{bmatrix}$are $1$ and $1$ $1$ and $-1$ $j$ and $-j$ $pq$ and $-pq$
Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& -p \end{bmatrix}$are$1$ and $1$$1$ and $-1$$j$ and $...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
Linear Algebra
gateee-2021
linear-algebra
matrices
eigen-values
+
–
0
votes
1
answer
6
GATE Electrical 2020 | Question: 1
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true? $\text{d}$ can be chosen to ensure that $\text{x = 0}$ is a root for any ... $\text{a, b, c, d}$ can be chosen to ensure that all roots are complex. $\text{c}$ alone cannot ensure that all roots are real.
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true?$\text{d}$...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Calculus
gate2020-ee
calculus
polynomials
+
–
0
votes
0
answers
7
GATE Electrical 2017 Set 2 | Question: 25
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $100 \times 100$. If there are $20$PV buses in addition to $PQ$ buses and a slack bus, the total number of buses in the system is ______.
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $100 \times 100$. If there are $20$PV buses in addition to $PQ$...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Numerical Methods
gate2017-ee-2
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
votes
0
answers
8
GATE Electrical 2019 | Question: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are ... True and Statement $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \e...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
1
answer
9
GATE Electrical 2020 | Question: 42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$
The number of purely real elements in a lower triangular representation of the given $3\times 3$ matrix, obtained through the given decomposition is ______________.$$\beg...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Linear Algebra
gate2020-ee
linear-algebra
matrices
+
–
0
votes
0
answers
10
GATE Electrical 2014 Set 1 | Question: 46
A system matrix is given as follows. $A=\begin{bmatrix} 0 & 1 & -1\\ -6 & -11 &6 \\ -6& -11& 5 \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
A system matrix is given as follows.$A=\begin{bmatrix} 0 & 1 & -1\\ -6 & -11 &6 \\ -6& -11& 5 \end{bmatrix}$The absolute value of the ratio of the maximum eigenvalue to t...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2014-ee-1
linear-algebra
matrices
eigen-values
numerical-answers
+
–
0
votes
2
answers
11
GATE Electrical 2021 | Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is _________________...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
Linear Algebra
gateee-2021
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
1
answer
12
GATE Electrical 2015 Set 1 | Question: 29
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2015-ee-1
probability-and-statistics
probability
conditional-probability
+
–
0
votes
1
answer
13
GATE Electrical 2019 | Question: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
numerical-answers
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
14
GATE Electrical 2021 | Question: 5
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$? $\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axis, and z-axis, respectively)}$ $10x\hat{X}+20y\hat{Y}-30z\hat{Z}$ $10y\hat{X}+20x\hat{Y}-10z\hat{Z}$ $10z\hat{X}+20y\hat{Y}-30x\hat{Z}$ $10x\hat{X}-30z\hat{Y}+20y\hat{Z}$
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$?$\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axi...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
Calculus
gateee-2021
calculus
field-vectors
+
–
0
votes
0
answers
15
GATE Electrical 2016 Set 2 | Question: 49
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ corresponding to distinct eigenvalues $\lambda_{1}$ and $\lambda_{2}$ respectively. Then the ... $e^{\lambda_{2}t}\alpha$ $e^{\lambda_{1}t}\alpha+e^{\lambda_{2}t}\beta$
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ co...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-2
linear-algebra
eigen-values
eigen-vectors
+
–
0
votes
0
answers
16
GATE Electrical 2018 | Question: 42
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Calculus
gate2018-ee
numerical-answers
calculus
definite-integral
+
–
0
votes
0
answers
17
GATE Electrical 2014 Set 3 | Question: 4
Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ years respectively, then the value of $k$ is ________.
Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2014-ee-3
probability-and-statistics
probability
random-variable
probability-density-function
numerical-answers
+
–
0
votes
0
answers
18
GATE Electrical 2016 Set 1 | Question: 26
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probabilit...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Probability & Statistics
gate2016-ee-1
probability-and-statistics
probability
conditional-probability
numerical-answers
+
–
0
votes
0
answers
19
GATE Electrical 2014 Set 1 | Question: 28
The line integral of function $F = yzi$, in the counterclockwise direction, along the circle $x^2+y^2 = 1$ at $z = 1$ is $-2\pi$ $-\pi$ $\pi$ $2\pi$
The line integral of function $F = yzi$, in the counterclockwise direction, along the circle $x^2+y^2 = 1$ at $z = 1$ is$-2\pi$$-\pi$$\pi$$2\pi$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Calculus
gate2014-ee-1
calculus
line-integral
circle-equation
+
–
0
votes
0
answers
20
GATE Electrical 2020 | Question: 5
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is: $\int _{C}\frac{z^{2}+1}{z^{2}-2z}\:dz$ $8\pi i$ $-8\pi i$ $-\pi i$ $\pi i$
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is:$$\int _{C}\frac{z^{2}+1}{z...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Complex Variables
gate2020-ee
complex-variables
cauchys-integral-theorem
+
–
0
votes
0
answers
21
GATE Electrical 2015 Set 1 | Question: 26
The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\dfrac{2}{3\sqrt{3}} \\$ $\dfrac{1}{3\sqrt{3}} \\$ $\dfrac{1+2\sqrt{3}}{3\sqrt{3}} \\$ $\dfrac{1+\sqrt{3}}{3\sqrt{3}}$
The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is$\dfrac{2}{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2015-ee-1
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
22
GATE Electrical 2019 | Question: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{-t}+e^{-t}$ $3e^{-t}$ $2te^{-t}+e^{-t}$ $4te^{-t}+e^{-t}$
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$$3te^{-t}+e^{-t}$$3e^{-t}$$2te^{-t}+e^{-t}$$4te^{-t}+e^{-t}$
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Transform Theory
gate2019-ee
transform-theory
laplace-transform
inverse-laplace-transform
+
–
0
votes
0
answers
23
GATE Electrical 2016 Set 1 | Question: 33
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
degree-of-polynomial
numerical-answers
+
–
0
votes
0
answers
24
GATE Electrical 2021 | Question: 3
Let $f\left ( x \right )$ be a real-valued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right )> 0$ for all $x \in \left ( 0,1 \right )$. ... has no local minimum in $(0,1)$ one local maximum in $(0,1)$ exactly one local minimum in $(0,1)$ two distinct local minima in $(0,1)$
Let $f\left ( x \right )$ be a real-valued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right ) 0$ fo...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
Calculus
gateee-2021
calculus
maxima-minima
+
–
0
votes
0
answers
25
GATE Electrical 2021 | Question: 2
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ ... $p\left ( z \right )=0$ come in conjugate pairs All the roots cannot be real
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ is a complex number.Which one of the following is true?$\text{conjugate}\:\lef...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
Complex Variables
gateee-2021
complex-variables
complex-number
+
–
0
votes
0
answers
26
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Complex Variables
gate2014-ee-2
complex-variables
complex-functions
+
–
0
votes
0
answers
27
GATE Electrical 2020 | Question: 27
The vector function expressed by $F=a_{x}\left ( 5y-k_{1} z\right )+a_{y}\left ( 3z+k_{2}x \right )+a_{z}\left ( k_{3} y-4x\right )$ represents a conservative field, where $a_{x}, a_{y},a_{z}$ are unit vectors along $x, y$ and $z$ directions, respectively. The values of constants ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$
The vector function expressed by$$F=a_{x}\left ( 5y-k_{1} z\right )+a_{y}\left ( 3z+k_{2}x \right )+a_{z}\left ( k_{3} y-4x\right )$$represents a conservative field, wher...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Calculus
gate2020-ee
calculus
field-vectors
+
–
0
votes
0
answers
28
GATE Electrical 2020 | Question: 2
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n,$ or all possible non-zero choices of real numbers $p,q;p\neq q,$ ...
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n,$ or all possible non-zero choices of real numbers $p,q;p\neq q,$ as applicable?...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Calculus
gate2020-ee
calculus
definite-integral
+
–
0
votes
0
answers
29
GATE Electrical 2020 | Question: 16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\:y\left ( 0 \right )=1$
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________.$$\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Differential Equations
gate2020-ee
numerical-answers
differential-equations
initial-and-boundary-value-problems
+
–
0
votes
0
answers
30
GATE Electrical 2018 | Question: 17
Consider a non-singular $2 \times 2$ square matrix $\textbf{A}$. If $\text{trace}(\textbf{A})=4$ and $\text{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textbf{A}$ is _________ (up to $1$ decimal place).
Consider a non-singular $2 \times 2$ square matrix $\textbf{A}$. If $\text{trace}(\textbf{A})=4$ and $\text{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textb...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Linear Algebra
gate2018-ee
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
31
GATE Electrical 2016 Set 2 | Question: 32
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3 \end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix} x\\ y \end{pmatrix}$ such that $a^{2}+b^{2}=1$ ... with major axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ An ellipse with minor axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3\end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix}x\\ y\end{pmatrix}$ such that $a^{2}+b^{2}=1$ where $\begin{pmatrix}...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-2
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
32
GATE Electrical 2014 Set 2 | Question: 27
Let $X$ be a random variable with probability density function $f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$ The probability $P(0.5 < X < 5)$ is ______.
Let $X$ be a random variable with probability density function$f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \tex...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2014-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
numerical-answers
+
–
0
votes
0
answers
33
GATE Electrical 2014 Set 2 | Question: 18
The state transition matrix for the system $\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 1 & 1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 1\\ 1 \end{bmatrix}u$ ... $\begin{bmatrix} e^t &te^t \\ 0&e^t \end{bmatrix}$
The state transition matrix for the system$\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 1 & 1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{b...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2014-ee-2
linear-algebra
matrices
transition-matrix
+
–
0
votes
1
answer
34
GATE Electrical 2019 | Question: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $-2$ and $-3$ $16$ and $81$
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are$4$ and $9$$2$ and $3$$-2$ and $-3$$16$ and $81$
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
35
GATE Electrical 2019 | Question: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}-1}{z} \\ $ $\frac{z^{2}-1}{z+2} \\ $ $\frac{z^{2}-1}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ?$\frac{z^{2}-1}{z} \\ $$\frac{z^{2}-1}{z+2} \\ $$\frac{z^{2}-1}{z-0.5} \\ $$\frac{z^...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Complex Variables
gate2019-ee
complex-variables
analytic-functions
+
–
0
votes
0
answers
36
GATE Electrical 2012 | Question: 1
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is$3/4$$9/16$$1...
Andrijana3306
1.4k
points
Andrijana3306
asked
Mar 23, 2018
Probability & Statistics
gate2012-ee
probability-and-statistics
probability
random-variable
uniform-distribution
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–
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37
GATE Electrical 2014 Set 1 | Question: 27
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n-3)$ is $2^{-n}$ $0$ $^{n}C_{n-3}2^{-n}$ $2^{-n+3}$
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n-3)$ is$2^{-n}$$0$$^{n}C_{n-3}2^{-n}$$2^{-n+3}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2014-ee-1
probability-and-statistics
probability
coins
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–
0
votes
0
answers
38
GATE Electrical 2015 Set 2 | Question: 27
Two coins $R$ and $S$ are tossed. The $4$ joint events $H_{R}H_{S}, T_{R}T_{S}, H_{R}T_{S}, T_{R}H_{S}$ have probabilities $0.28, 0.18, 0.30, 0.24$, respectively, where $H$ represents head and $T$ represents tail. Which one of the ... is TRUE? The coin tosses are independent. $R$ is fair, $S$ is not. $S$ is fair, $R$ is not. The coin tosses are dependent.
Two coins $R$ and $S$ are tossed. The $4$ joint events $H_{R}H_{S}, T_{R}T_{S}, H_{R}T_{S}, T_{R}H_{S}$ have probabilities $0.28, 0.18, 0.30, 0.24$, respectively, where $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2015-ee-2
probability-and-statistics
probability
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–
0
votes
0
answers
39
GATE Electrical 2015 Set 2 | Question: 2
We have a set of $3$ linear equations in $3$ unknowns. $'X \equiv Y'$ means $X$ and $Y$ are equivalent statements and $'X \not\equiv Y'$ means $X$ and $Y$ are not equivalent statements. P: There is a unique solution. Q: The equations ... $P \equiv Q \not\equiv R \equiv S$ $P\not\equiv Q \not\equiv R \not\equiv S$
We have a set of $3$ linear equations in $3$ unknowns. $'X \equiv Y'$ means $X$ and $Y$ are equivalent statements and $'X \not\equiv Y'$ means $X$ and $Y$ are not equiva...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2015-ee-2
linear-algebra
system-of-linear-equations
eigen-values
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–
0
votes
0
answers
40
GATE Electrical 2014 Set 3 | Question: 26
Integration of the complex function $f(z)=\dfrac{z^2}{z^2-1}$ , in the counterclockwise direction, around $\mid z-1 \mid = 1$, is $-\pi i$ $0$ $\pi i$ $2 \pi i$
Integration of the complex function $f(z)=\dfrac{z^2}{z^2-1}$ , in the counterclockwise direction, around $\mid z-1 \mid = 1$, is$-\pi i$$0$$\pi i$$2 \pi i$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Complex Variables
gate2014-ee-3
complex-variables
complex-functions
cauchys-integral-theorem
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