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Highest voted questions in Others
1
vote
1
answer
61
ISI2015-MMA-89
Let $y(x)$ be a non-trivial solution of the second order linear differential equation $\frac{d^2y}{dx^2}+2c\frac{dy}{dx}+ky=0,$ where $c<0$, $k>0$ and $c^2>k$. Then $\mid y(x) \mid \to \infty$ as $x \to \infty$ $\mid y(x) \mid \to 0$ as $x \to \infty$ $\underset{x \to \pm \infty}{\lim} \mid y(x) \mid$ exists and is finite none of the above is true
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
268
views
isi2015-mma
differential-equation
non-gate
1
vote
1
answer
62
UGC NET CSE | June 2019 | Part 2 | Question: 38
Hadoop (a big data tool) works with number of related tools. Choose from the following, the common tools included into Hadoop: MySQL, Google API and Map reduce Map reduce, Scala and Hummer Map reduce, H Base and Hive Map reduce, Hummer and Heron
Arjun
asked
in
Others
Jul 2, 2019
by
Arjun
1.9k
views
ugcnetcse-june2019-paper2
bigdata-hadoop
1
vote
1
answer
63
UGC NET CSE | June 2019 | Part 2 | Question: 40
K-mean clustering algorithm has clustered the given $8$ observations into $3$ clusters after $1$st iteration as follows: $C1: \: \{(3,3), (5,5), (7,7) \}$ $C2: \: \{(0,6), (6,0), (3,0) \}$ $C3: \: \{(8,8), (4,4)\}$ What will be the Manhattan distance for observation $(4,4)$ from cluster centroid $C1$ in the second iteration? $2$ $\sqrt{2}$ $0$ $18$
Arjun
asked
in
Others
Jul 2, 2019
by
Arjun
3.4k
views
ugcnetcse-june2019-paper2
k-mean-clustering
data-mining
1
vote
2
answers
64
UGC NET CSE | June 2019 | Part 2 | Question: 95
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
Arjun
asked
in
Others
Jul 2, 2019
by
Arjun
1.8k
views
ugcnetcse-june2019-paper2
fuzzy-set
alpha-cut
1
vote
1
answer
65
UGC NET CSE | June 2019 | Part 2 | Question: 96
Consider the following methods: $M_1$: Mean of maximum $M_2$: Centre of area $M_3$: Height method Which of the following is/are defuzzification method(s)? Only $M_2$ Only $M_1$ and $M_2$ Only $M_2$ and $M_3$ $M_1$, $M_2$ and $M_3$
Arjun
asked
in
Others
Jul 2, 2019
by
Arjun
3.4k
views
ugcnetcse-june2019-paper2
fuzzy-set
defuzzification
1
vote
1
answer
66
ISI2019-MMA-18
For the differential equation $\frac{dy}{dx} + xe^{-y}+2x=0$ It is given that $y=0$ when $x=0$. When $x=1$, $\:y$ is given by $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3e}{2} – \frac{1}{4} \bigg)$ $\text{ln} \bigg(\frac{3}{e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{4} \bigg)$
Sayan Bose
asked
in
Others
May 6, 2019
by
Sayan Bose
4.5k
views
isi2019-mma
non-gate
engineering-mathematics
calculus
differential-equation
1
vote
1
answer
67
ISI2019-MMA-9
$(\cos 100^\circ + i \sin 100^\circ)(\cos 0^\circ + i \sin 110^\circ)$ is equal to $\frac{1}{2}(\sqrt3 – i)$ $\frac{1}{2}(-\sqrt3 – i)$ $\frac{1}{2}(-\sqrt3 +i)$ $\frac{1}{2}(\sqrt3 + i)$
Sayan Bose
asked
in
Others
May 6, 2019
by
Sayan Bose
1.0k
views
isi2019-mma
non-gate
trignometry
1
vote
1
answer
68
ISI2019-MMA-8
For $0 \leq x < 2 \pi$, the number of solutions of the equation $\sin^2x + 2 \cos^2x + 3\sin x \cos x = 0$ is $1$ $2$ $3$ $4$
Sayan Bose
asked
in
Others
May 6, 2019
by
Sayan Bose
1.2k
views
isi2019-mma
non-gate
trignometry
1
vote
1
answer
69
ISI2019-MMA-7
The value of $\frac{1}{2\sin10^\circ}$ – $2\sin70^\circ$ is $-1/2$ $-1$ $1/2$ $1$
Sayan Bose
asked
in
Others
May 6, 2019
by
Sayan Bose
821
views
isi2019-mma
non-gate
trignometry
1
vote
0
answers
70
NIELIT 2018-16
The value of $\int_c \frac{2x^2-5}{(x+2)^2 (x^2+4)x^2}dx$, (where $c$ is the square with vertices $1+i, 2+i, 2+2i, i+2i$) is: $0$ $\pi i$ $2 \pi i$ $4 \pi i$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
647
views
nielit-2018
non-gate
integration
1
vote
1
answer
71
NIELIT 2018-18
If $y^a$ is an integrating factor of the differential equation $2xydx-(3x^2-y^2)dy=0$, then the value of $a$ is $-4$ $4$ $-1$ $1$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
698
views
nielit-2018
non-gate
differential-equation
1
vote
0
answers
72
NIELIT 2018-19
If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to: $x+y+z$ $1+x+y+z$ $1$ $0$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
652
views
nielit-2018
non-gate
differentiation
partial-order
1
vote
0
answers
73
NIELIT 2018-20
The general solution of the differential equation $\frac{dy}{dx} = (1+y^2)(e^{-x^2}-2x \tan^{-1} y)$ is: $e^{x^2} \tan^{-1} y = x+c$ $e^{-x^2} \tan^y = x+c$ $e^x \tan y = x^2+c$ $e^{-x} \tan^{-1} y = x^3+c$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
581
views
nielit-2018
non-gate
differential-equation
1
vote
1
answer
74
NIELIT 2018-22
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
3.5k
views
nielit-2018
non-gate
differential-equation
1
vote
0
answers
75
NIELIT 2018-23
If $w=f(z)=u(x,y)+i \: v(x,y)$ is an analytic function, then $\frac{dw}{dz}$ is: $\frac{ \partial u } {\partial x}- i \frac{ \partial u}{\partial y}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial v}{\partial y}$ $\frac{ \partial u } {\partial x}- i \frac{ \partial v}{\partial x}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial u}{\partial y}$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
1.2k
views
nielit-2018
non-gate
differentiation
partial-order
1
vote
1
answer
76
NIELIT 2018-28
For the function $(z) = \frac{1}{z^2(e^z-1)}, z=0$ is a pole of order: $1$ $2$ $3$ None of these
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
1.7k
views
nielit-2018
non-gate
complex-number
1
vote
1
answer
77
NIELIT 2018-29
Using Green’s theorem in plane, evaluate $\int_c (2x-y) dx + (x+y)dy$, where $c$ is the circle $x^2+y^2=4$ in the plane: $2 \pi$ $4 \pi$ $-4 \pi$ $8 \pi$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
692
views
nielit-2018
non-gate
integration
1
vote
0
answers
78
ISI2016-MMA-26
Let $x$ and $y$ be real numbers satisfying $9x^2+16y^2=1$. Then $(x+y)$ is maximum when $y=9x/16$ $y=-9x/16$ $y=4x/3$ $y=-4x/3$
go_editor
asked
in
Others
Sep 13, 2018
by
go_editor
234
views
isi2016-mma
differentiation
non-gate
1
vote
2
answers
79
UGC NET CSE | July 2018 | Part 2 | Question: 83
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_2-6x_33+3x_4=7$ $32x_1+x_2-12x_3 \leq 10$ $3x_1-x_2-x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
Pooja Khatri
asked
in
Others
Jul 13, 2018
by
Pooja Khatri
1.9k
views
ugcnetcse-july2018-paper2
llp
linear-programming
1
vote
0
answers
80
Career advice
Hello Guys, I am a gate aspirant (2017 B.tech graduated) and want to do masters ftom an elite college. I gave 2017 and got 40 marks with my coaching notes revision and without mock tests(Serious attempt) . I thought mocks are waste of time at that ... take the decision. So guys please help me to take the decision through in this critical phase. Sorry for grammatical mistakes, if any.
Sumanth Sunny 1
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Others
Mar 10, 2018
by
Sumanth Sunny 1
419
views
career-advice
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