The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions in Non GATE
Recent
Hot!
Most votes
Most answers
Most views
Featured
Previous GATE
Recent
Hot!
Most votes
Most answers
Most views
Featured
Previous GATE
+1
vote
1
answer
1
ISI2014DCG14
$x^43x^2+2x^2y^23y^2+y^4+2=0$ 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
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

13
views
isi2014dcg
circle
ellips
0
votes
1
answer
2
ISI2014DCG20
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 $0$ $1$ $2$ $4$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

17
views
isi2014dcg
calculus
integration
definiteintegration
area
0
votes
0
answers
3
ISI2014DCG27
Let $y^24ax+4a=0$ and $x^2+y^22(1+a)x+1+2a3a^2=0$ 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
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

20
views
isi2014dcg
curves
0
votes
1
answer
4
ISI2014DCG40
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^210x=21$ 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 $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

10
views
isi2014dcg
curves
tangents
angles
0
votes
1
answer
5
ISI2014DCG49
Let $f(x) = \dfrac{x}{(x1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $ \frac{24}{5} \bigg[ \frac{1}{(x1)^5}  \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x1)^5} + \frac{48}{(2x+3)^5} \bigg]$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

32
views
isi2014dcg
calculus
derivative
functions
0
votes
0
answers
6
ISI2014DCG52
The area under the curve $x^2+3x4$ 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
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2014dcg
curve
boundedarea
+1
vote
1
answer
7
ISI2014DCG57
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 $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2014dcg
parabola
focalchord
0
votes
0
answers
8
ISI2014DCG59
The equation $5x^2+9y^2+10x36y4=0$ 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
in
Others
by
Arjun
Veteran
(
423k
points)

10
views
isi2014dcg
hyperbola
ellipse
foci
0
votes
1
answer
9
ISI2015MMA32
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals $\sqrt{2/3}$ $\sqrt{3/2}$ $3/ \sqrt{2}$ $\sqrt{2}/3$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
geometry
equilateraltriangle
nongate
0
votes
0
answers
10
ISI2015MMA35
If $f(x)=x^2$ and $g(x)= x \sin x + \cos x$ then $f$ and $g$ agree at no points $f$ and $g$ agree at exactly one point $f$ and $g$ agree at exactly two points $f$ and $g$ agree at more than two points
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

13
views
isi2015mma
trigonometry
nongate
0
votes
0
answers
11
ISI2015MMA45
Angles between any pair of $4$ main diagonals of a cube are $\cos^{1} 1/\sqrt{3}, \pi – \cos ^{1} 1/\sqrt{3}$ $\cos^{1} 1/3, \pi – \cos ^{1} 1/3$ $\pi/2$ none of the above
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
cubes
diagonals
0
votes
0
answers
12
ISI2015MMA46
If the tangent at the point $P$ with coordinates $(h,k)$ on the curve $y^2=2x^3$ is perpendicular to the straight line $4x=3y$, then $(h,k) = (0,0)$ $(h,k) = (1/8, 1/16)$ $(h,k) = (0,0) \text{ or } (h,k) = (1/8, 1/16)$ no such point $(h,k)$ exists
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
straight
line
tangent
curves
0
votes
0
answers
13
ISI2015MMA47
Consider the family $\mathcal{F}$ of curves in the plane given by $x=cy^2$, where $c$ is a real parameter. Let $\mathcal{G}$ be the family of curves having the following property: every member of $\mathcal{G}$ intersect each member of $\mathcal{F}$ orthogonally. Then $\mathcal{G}$ is given by $xy=k$ $x^2+y^2=k^2$ $y^2+2x^2=k^2$ $x^2y^2+2yk=k^2$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

5
views
isi2015mma
curves
0
votes
0
answers
14
ISI2015MMA48
Suppose the circle with equation $x^2+y^2+2fx+2gy+c=0$ cuts the parabola $y^2=4ax, \: (a>0)$ at four distinct points. If $d$ denotes the sum of the ordinates of these four points, then the set of possible values of $d$ is $\{0\}$ $(4a,4a)$ $(a,a)$ $( \infty, \infty)$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
circle
parabola
nongate
0
votes
1
answer
15
ISI2015MMA49
The polar equation $r=a \cos \theta$ represents a spiral a parabola a circle none of the above
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

8
views
isi2015mma
trigonometry
nongate
+1
vote
1
answer
16
ISI2015MMA50
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 $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

8
views
isi2015mma
inequality
nongate
+1
vote
1
answer
17
ISI2015MMA54
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 $\log \frac{1+x}{1x}$ $\frac{x}{1x} + \log(1+x)$ $\frac{1}{1x} + \log(1x)$ $\frac{x}{1x} + \log(1x)$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

10
views
isi2015mma
series
summation
nongate
0
votes
0
answers
18
ISI2015MMA56
Let $\{a_n\}$ be a sequence of nonnegative 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 $\frac{1}{2}$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

5
views
isi2015mma
diverges
nongate
0
votes
0
answers
19
ISI2015MMA64
Let the position of a particle in three dimensional space at time $t$ be $(t, \cos t, \sin t)$. Then the length of the path traversed by the particle between the times $t=0$ and $t=2 \pi$ is $2 \pi$ $2 \sqrt{2 \pi}$ $\sqrt{2 \pi}$ none of the above
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

5
views
isi2015mma
trigonometry
curves
nongate
0
votes
0
answers
20
ISI2015MMA65
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
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
inequality
nongate
0
votes
0
answers
21
ISI2015MMA66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid xy \mid$ 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.
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
inequality
trigonometry
nongate
0
votes
0
answers
22
ISI2015MMA67
Given two real numbers $a<b$, let $d(x,[a,b]) = \text{min} \{ \mid xy \mid : a \leq y \leq b \} \text{ for }  \infty < x < \infty$. 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$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
functions
nongate
0
votes
0
answers
23
ISI2015MMA68
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 $(0,0)$
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

7
views
isi2015mma
partialderivatives
continuousdifferentiable
nongate
0
votes
0
answers
24
ISI2015MMA70
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
in
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
partial
derivatives
nongate
0
votes
0
answers
25
ISI2015MMA71
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
Others
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
continuity
partialderivatives
nongate
0
votes
0
answers
26
ISI2015MMA75
The length of the curve $x=t^3$, $y=3t^2$ from $t=0$ to $t=4$ is $5 \sqrt{5}+1$ $8(5 \sqrt{5}+1)$ $5 \sqrt{5}1$ $8(5 \sqrt{5}1)$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

4
views
isi2015mma
curves
nongate
+1
vote
1
answer
27
ISI2015MMA79
Let $g(x,y) = \text{max}\{12x, 8y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is $5$ $7$ $1$ $3$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

9
views
isi2015mma
line
nongate
0
votes
0
answers
28
ISI2015MMA82
The volume of the solid, generated by revolving about the horizontal line $y=2$ the region bounded by $y^2 \leq 2x$, $x \leq 8$ and $y \geq 2$, is $2 \sqrt{2\pi}$ $28 \pi/3$ $84 \pi$ none of the above
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
solid
area
nongate
0
votes
0
answers
29
ISI2015MMA83
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
asked
Sep 23
in
Others
by
Arjun
Veteran
(
423k
points)

8
views
isi2015mma
complexnumber
maximumvalue
nongate
0
votes
0
answers
30
ISI2015MMA84
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
in
Others
by
Arjun
Veteran
(
423k
points)

9
views
isi2015mma
series
summation
nongate
Page:
1
2
3
4
5
6
...
48
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
OFFICIAL GATE MOCK TEST RELEASED
IIITH: Winter Research Admissions 2019 (For Spring 2020)
TIFR and JEST exam
Minimal Deterministic Finite Automata
To be aware of fake GATE test series
All categories
General Aptitude
1.9k
Engineering Mathematics
7.5k
Digital Logic
2.9k
Programming and DS
4.9k
Algorithms
4.3k
Theory of Computation
6.2k
Compiler Design
2.1k
Operating System
4.5k
Databases
4.1k
CO and Architecture
3.4k
Computer Networks
4.1k
Non GATE
1.4k
IS&Software Engineering
292
Web Technologies
62
Numerical Methods
56
Computer Graphics
92
Object Oriented Programming
69
Java
24
Cloud Computing
1
Distributed Computing
14
Machine Language
7
Knowledge Representation
18
Information Theory
0
Digital Image Processing
17
Digital Signal Processing
7
Computer Peripherals
11
Multimedia
2
Geometry
22
Integrated Circuits
8
Others
702
Others
1.6k
Admissions
595
Exam Queries
576
Tier 1 Placement Questions
23
Job Queries
72
Projects
17
Follow @csegate
Recent questions in Non GATE
Recent Blog Comments
still it's usefull for practice purpose and...
@Satbir Its a valuable info..Thanks
It is the 2019 question paper given as a mock...
Favorite is not working for blogs.. In favorites...
Favourite option does work. But list options...
50,650
questions
56,185
answers
193,939
comments
94,695
users