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UGCNET-June-2019-II-95
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
answered
3 days
ago
in
Others
by
Anshu Kesarwani
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57
points)
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80
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ugcnetjune2019ii
fuzzy-sets
alpha-cut
0
votes
1
answer
2
UGCNET-DEC2018-II-94
Consider the following terminology and match List I with List II and choose the correct answer from the code given below. List I List II (a) Greedy Best-First Search (i) Selects a node for expansion if optimal path to that node has been found (b) A* Search (ii) Avoids substantial overhead associated with ... -(iii), (c)-(ii), (d)-(i) (a) - (i), (b)-(iv), (c)-(iii), (d)-(ii)
answered
Nov 28
in
Others
by
Rashmi Ashutosh Vish
(
69
points)
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72
views
ugcnetdec2018ii
+1
vote
2
answers
3
UGCNET-June-2019-II-97
Consider the following: Evolution Selection Reproduction Mutation Which of the following are found in genetic algorithms? b, c and d only b and d only a, b, c and d a, b and d only
answered
Nov 28
in
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by
Rashmi Ashutosh Vish
(
69
points)
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110
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ugcnetjune2019ii
artificial-intelligence
genetic-algorithms
0
votes
2
answers
4
UGCNET-DEC2018-II-90
Suppose that everyone in a group of $N$ people wants to communicate secretly with $(N-1)$ other people using symmetric key cryptographic system. The communication between any two persons should not be decodable by the others in the group. The number of keys required in the system as a whole to satisfy the confidentiality requirement is $N(N-1)$ $N(N-1)/2$ $2N$ $(N-1)^2$
answered
Nov 27
in
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by
deenanathgupta
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103
points)
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75
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ugcnetdec2018ii
0
votes
1
answer
5
UGCNET-DEC2018-II-91
An agent can improve its performance by Perceiving Responding Learning Observing
answered
Nov 27
in
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by
deenanathgupta
(
103
points)
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79
views
ugcnetdec2018ii
0
votes
2
answers
6
UGCNET-DEC2018-II-92
Which of the following is true for semi-dynamic environment? The environment may change while the agent is deliberating The environment itself does not change with the passage of time but the agent's performance score does Even if the ... the passage of time while deliberating, the performance score does not change. Environment and performance score, both change simultaneously
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Nov 27
in
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by
deenanathgupta
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103
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108
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ugcnetdec2018ii
0
votes
2
answers
7
UGCNET-DEC2018-II-93
Consider the following terminology and match List I with List II and choose the correct answer from the code given below. b= branching factor d = depth of the shallowest solution m= maximum depth of the search tree l=depth limit ... )-(ii), (c)-(iv), (d)-(i) (a) - (i), (b)-(iii), (c)-(iv), (d)-(ii)
answered
Nov 27
in
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by
deenanathgupta
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103
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106
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ugcnetdec2018ii
0
votes
1
answer
8
UGCNET-DEC2018-II-96
Consider the following statements related to AND-OR Search algorithm. S1: A solution is a subtree that has a goal node at every leaf. S2: OR nodes are analogous to the branching in a non-deterministic environment. S3: AND nodes are analogous to the branching in a non-deterministic ... S2 - True, S3 - False S1 - True, S2 - True, S3 - True S1 - False, S2 - True, S3 - False
answered
Nov 27
in
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by
deenanathgupta
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103
points)
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68
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ugcnetdec2018ii
0
votes
1
answer
9
UGCNET-DEC2018-II-95
Consider the following statements: S1: A heuristic is admissible if it never overestimates the cost to reach the goal S2: A heuristic is monotonous if it follows triangle inequality property Which of the following is true referencing the above statements? Choose ... but statement S2 is true Statement S1 is true but statement S2 is false Both the statements S1 and S2 are true
answered
Nov 27
in
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by
deenanathgupta
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103
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71
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ugcnetdec2018ii
0
votes
2
answers
10
UGCNET-DEC2018-II-99
Consider the sentence below: There is a country that borders both India and Nepal Which of the following represents the above sentence correctly? $\exists c \text{ Country} (c ) \wedge \text{Border}(c, \text{India}) \wedge Border(c, \text{Nepal})$ ... $\exists c \text{ Border}( \text{Country} (c ), \text{India}) \wedge \text{Nepal})$
answered
Nov 27
in
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by
deenanathgupta
(
103
points)
|
186
views
ugcnetdec2018ii
+2
votes
2
answers
11
ISI2015-MMA-50
Let $\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \bigg( \frac{7+8+15+23}{4} \bigg) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \bigg( \frac{6+8+15+24}{4} \bigg) ^2 , \\ V_3 & = & \frac{5^2+8^2+15^2+25^2}{4} – \bigg( \frac{5+8+15+25}{4} \bigg) ^2 . \end{array}$ Then $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
answered
Nov 25
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by
techbd123
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isi2015-mma
inequality
non-gate
+1
vote
1
answer
12
UGCNET-June-2019-II-94
A fuzzy conjunction operator denoted as $t(x,y)$ and a fuzzy disjunction operator denoted as $s(x,y)$ form a dual pair if they satisfy the condition: $t(x,y) = 1-s(x,y)$ $t(x,y) = s(1-x,1-y)$ $t(x,y) = 1-s(1-x,1-y)$ $t(x,y) = s(1+x,1+y)$
answered
Nov 15
in
Others
by
hashida
(
11
points)
|
119
views
ugcnetjune2019ii
artificial-intelligence
fuzzy-logic
0
votes
1
answer
13
UGCNET-July-2018-II-81
E is the number of edges in the graph and f is maximum flow in the graph. When the capacities are integers, the runtime of Ford-Fulberson algorithm is bounded by $O \: (E*f)$ $O \: (E^2*f)$ $O \: (E*f^2)$ $O \: (E^2*f^2)$
answered
Nov 14
in
Others
by
Anshu Kesarwani
(
57
points)
|
337
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ugcnetjuly2018ii
graph-theory
0
votes
2
answers
14
UGCNET-July-2018-II-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 : $x_1=50, \: x_2=70, \: x_3=60$
answered
Nov 14
in
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by
Arun Kumar Dey
(
27
points)
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527
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ugcnetjuly2018ii
llp
linear-programming
0
votes
2
answers
15
UGCNET-July-2018-II-5
Given below are three implementations of the swap() function in C++: a b c void swap (int a, int b) { int temp; temp=a; a=b; b=temp; } int main() { int p=0, q=1; swap(p, q); } void swap (int &a, int &b) { int temp; temp=a; ... swap(&p, &q); } Which of these would actually swap the contents of the two integer variables p and q? a only b only c only b and c only
answered
Nov 10
in
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by
avinash99515
(
29
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790
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ugcnetjuly2018ii
c++
swap-function
0
votes
1
answer
16
ISI2015-DCG-44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2-x^2=32$ $x^2-y^2=16$ $y^2-x^2=16$ $x^2-y^2=32$
answered
Nov 10
in
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by
`JEET
Boss
(
13.1k
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15
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isi2015-dcg
geometry
hyperbola
eccentricity
0
votes
1
answer
17
UGCNET-DEC2018-II-49
What does the following Java function perform? (Assume int occupies four bytes of storage) public static int f(int a) { // Pre-conditions : a > 0 and no oveflow/underflow occurs int b=0; for (int i=0; i<32; i++) { b = b<<1; ... $1$'s in the binary representation of integer a Return the int that represents the number of $0$'s in the binary representation of integer a
answered
Nov 5
in
Others
by
Rashmi Ashutosh Vish
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69
points)
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124
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ugcnetdec2018ii
+1
vote
3
answers
18
ISRO2018-5
Considering the following table in a relational database Last Name Rank Room Shift Smith Manger 234 Morning Jones Custodian 33 Afternoon Smith Custodian 33 Evening Doe Clerical 222 Morning According to the data shown in the table, which of the following could be a candidate key of the table? {Last Name} {Room} {Shift} {Room, Shift}
answered
Nov 1
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bajajd
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isro2018
0
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1
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19
ISI2014-DCG-49
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} - \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$
answered
Oct 24
in
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by
`JEET
Boss
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13.1k
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32
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isi2014-dcg
calculus
derivative
functions
+1
vote
1
answer
20
ISI2015-MMA-54
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$
answered
Oct 19
in
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by
chirudeepnamini
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3.2k
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11
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isi2015-mma
series
summation
non-gate
+1
vote
1
answer
21
ISI2014-DCG-57
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
answered
Oct 10
in
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by
`JEET
Boss
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13.1k
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6
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isi2014-dcg
parabola
focal-chord
0
votes
1
answer
22
ISI2014-DCG-40
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^2-10x=-21$ Further, let $L$ and $M$ be the tangents to these curves $A$ and $B$, respectively, at the point $(3,0)$. Then the angle between these two tangents, $L$ and $M$, is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
answered
Oct 10
in
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by
techbd123
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3.1k
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10
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isi2014-dcg
curves
tangents
angles
0
votes
1
answer
23
ISI2014-DCG-20
If $A(t)$ is the area of the region bounded by the curve $y=e^{-\mid x \mid}$ and the portion of the $x$-axis between $-t$ and $t$, then $\underset{t \to \infty}{\lim} A(t)$ equals $0$ $1$ $2$ $4$
answered
Oct 1
in
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by
techbd123
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3.1k
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20
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isi2014-dcg
calculus
integration
definite-integration
area
+1
vote
1
answer
24
ISI2014-DCG-14
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
answered
Sep 30
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by
techbd123
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3.1k
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14
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isi2014-dcg
circle
ellips
0
votes
2
answers
25
UGCNET-July-2018-II-22
Consider the array A=<4, 1, 3, 2, 16, 9, 10, 14, 8, 7>. After building heap from the array A, the depth of the heap and the right child of max-heap are ______ and _____ respectively (Root is at level 0). 3, 14 3, 10 4, 14 4, 10
answered
Sep 25
in
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by
umesh kaiwart
(
21
points)
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642
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ugcnetjuly2018ii
data-structure
heap
0
votes
0
answers
26
ISI2014-DCG-27
Let $y^2-4ax+4a=0$ and $x^2+y^2-2(1+a)x+1+2a-3a^2=0$ be two curves. State which one of the following statements is true. These two curves intersect at two points These two curves are tangent to each other These two curves intersect orthogonally at one point These two curves do not intersect
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Sep 23
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Arjun
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20
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isi2014-dcg
curves
0
votes
0
answers
27
ISI2014-DCG-52
The area under the curve $x^2+3x-4$ in the positive quadrant and bounded by the line $x=5$ is equal to $59 \frac{1}{6}$ $61 \frac{1}{3}$ $40 \frac{2}{3}$ $72$
asked
Sep 23
in
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by
Arjun
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424k
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6
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isi2014-dcg
curve
bounded-area
0
votes
0
answers
28
ISI2014-DCG-59
The equation $5x^2+9y^2+10x-36y-4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
asked
Sep 23
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by
Arjun
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424k
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10
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isi2014-dcg
hyperbola
ellipse
foci
0
votes
0
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29
ISI2015-MMA-56
Let $\{a_n\}$ be a sequence of non-negative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ ... but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$
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Sep 23
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Arjun
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424k
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5
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isi2015-mma
diverges
non-gate
0
votes
0
answers
30
ISI2015-MMA-65
Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
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Sep 23
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Arjun
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424k
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6
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isi2015-mma
inequality
non-gate
0
votes
0
answers
31
ISI2015-MMA-66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid x-y \mid$ holds for all $x$ and $y$ is $2$ $1$ $\frac{\pi}{2}$ there is no smallest positive value of $K$; any $K>0$ will make the inequality hold.
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Sep 23
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Arjun
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424k
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6
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isi2015-mma
inequality
trigonometry
non-gate
0
votes
0
answers
32
ISI2015-MMA-67
Given two real numbers $a<b$, let $d(x,[a,b]) = \text{min} \{ \mid x-y \mid : a \leq y \leq b \} \text{ for } - \infty < x < \infty$. Then the function $f(x) = \frac{d(x,[0,1])}{d(x,[0,1]) + d(x,[2,3])}$ satisfies $0 \leq f(x) < \frac{1}{2}$ for every $x$ ... $f(x)=1$ if $ 0 \leq x \leq 1$ $f(x)=0$ if $0 \leq x \leq 1$ and $f(x)=1$ if $ 2 \leq x \leq 3$
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Sep 23
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Arjun
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424k
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7
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isi2015-mma
functions
non-gate
0
votes
0
answers
33
ISI2015-MMA-68
Let $f(x,y) = \begin{cases} e^{-1/(x^2+y^2)} & \text{ if } (x,y) \neq (0,0) \\ 0 & \text{ if } (x,y) = (0,0). \end{cases}$Then $f(x,y)$ is not continuous at $(0,0)$ continuous at $(0,0)$ but does not have first order partial derivatives continuous at $(0,0)$ and has first order partial derivatives, but not differentiable at $(0,0)$ differentiable at $(0,0)$
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Sep 23
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Arjun
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424k
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7
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isi2015-mma
partial-derivatives
continuous-differentiable
non-gate
0
votes
0
answers
34
ISI2015-MMA-70
Let $w=\log(u^2 +v^2)$ where $u=e^{(x^2+y)}$ and $v=e^{(x+y^2)}$. Then $\frac{\partial w }{\partial x} \mid _{x=0, y=0}$ is $0$ $1$ $2$ $4$
asked
Sep 23
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Arjun
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424k
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6
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isi2015-mma
partial
derivatives
non-gate
0
votes
0
answers
35
ISI2015-MMA-71
Let $f(x,y) = \begin{cases} 1, & \text{ if } xy=0, \\ xy, & \text{ if } xy \neq 0. \end{cases}$ Then $f$ is continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ exists $f$ is not continuous at $(0,0)$ ... $f$ is not continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ does not exist
asked
Sep 23
in
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Arjun
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424k
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6
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isi2015-mma
continuity
partial-derivatives
non-gate
0
votes
0
answers
36
ISI2015-MMA-83
If $\alpha, \beta$ are complex numbers then the maximum value of $\dfrac{\alpha \overline{\beta}+\overline{\alpha}\beta}{\mid \alpha \beta \mid}$ is $2$ $1$ the expression may not always be a real number and hence maximum does not make sense none of the above
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Sep 23
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Arjun
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424k
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8
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isi2015-mma
complex-number
maximum-value
non-gate
+1
vote
0
answers
37
ISI2015-MMA-84
For positive real numbers $a_1, a_2, \cdots, a_{100}$, let $p=\sum_{i=1}^{100} a_i \text{ and } q=\sum_{1 \leq i < j \leq 100} a_ia_j.$ Then $q=\frac{p^2}{2}$ $q^2 \geq \frac{p^2}{2}$ $q< \frac{p^2}{2}$ none of the above
asked
Sep 23
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Arjun
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424k
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10
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isi2015-mma
series
summation
non-gate
0
votes
0
answers
38
ISI2015-MMA-85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these
asked
Sep 23
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by
Arjun
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424k
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6
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isi2015-mma
differential-equations
ellipses
non-gate
0
votes
0
answers
39
ISI2015-MMA-87
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
asked
Sep 23
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Arjun
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424k
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8
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isi2015-mma
differential-equation
non-gate
0
votes
0
answers
40
ISI2015-MMA-88
Let $f(x)$ be a given differentiable function. Consider the following differential equation in $y$ $f(x) \frac{dy}{dx} = yf’(x)-y^2.$ The general solution of this equation is given by $y=-\frac{x+c}{f(x)}$ $y^2=\frac{f(x)}{x+c}$ $y=\frac{f(x)}{x+c}$ $y=\frac{\left[f(x)\right]^2}{x+c}$
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Sep 23
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5
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isi2015-mma
differential-equation
general-solution
non-gate
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