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 tagged geometry
0
votes
1
answer
1
ISI2014DCG55
If $a,b,c$ are sides of a triangle $ABC$ such that $x^22(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

33
views
isi2014dcg
numericalability
geometry
quadraticequations
0
votes
1
answer
2
ISI2014DCG56
Two opposite vertices of a rectangle are $(1,3)$ and $(5,1)$ while the other two vertices lie on the straight line $y=2x+c$. Then the value of $c$ is $4$ $3$ $4$ $3$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

23
views
isi2014dcg
numericalability
geometry
rectangles
lines
+1
vote
1
answer
3
ISI2014DCG58
Consider a circle with centre at origin and radius $2\sqrt{2}$. A square is inscribed in the circle whose sides are parallel to the $X$ an $Y$ axes. The coordinates of one of the vertices of this square are $(2, 2)$ $(2\sqrt{2},2)$ $(2, 2\sqrt{2})$ $(2\sqrt{2}, 2\sqrt{2})$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

32
views
isi2014dcg
numericalability
geometry
circle
squares
0
votes
1
answer
4
ISI2014DCG60
The equation of any circle passing through the origin and with its centre on the $X$axis is given by $x^2+y^22ax=0$ where $a$ must be positive $x^2+y^22ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^22by=0$ where $b$ must be positive $x^2+y^22by=0$ for any given $b \in \mathbb{R}$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

24
views
isi2014dcg
numericalability
geometry
circle
+1
vote
1
answer
5
ISI2015MMA18
The set of complex numbers $z$ satisfying the equation $(3+7i)z+(102i)\overline{z}+100=0$ represents, in the complex plane, a straight line a pair of intersecting straight lines a point a pair of distinct parallel straight lines
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

29
views
isi2015mma
numericalability
geometry
straightlines
complexnumber
nongate
0
votes
1
answer
6
ISI2015MMA28
In a triangle $ABC$, $AD$ is the median. If length of $AB$ is $7$, length of $AC$ is $15$ and length of $BC$ is $10$ then length of $AD$ equals $\sqrt{125}$ $69/5$ $\sqrt{112}$ $\sqrt{864}/5$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

19
views
isi2015mma
numericalability
geometry
median
nongate
0
votes
2
answers
7
ISI2015DCG16
The shaded region in the following diagram represents the relation $y \leq x$ $\mid y \mid \leq \mid x \mid$ $y \leq \mid x \mid$ $\mid y \mid \leq x$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

18
views
isi2015dcg
numericalability
geometry
area
0
votes
1
answer
8
ISI2015DCG38
The length of the chord on the straight line $3x4y+5=0$ intercepted by the circle passing through the points $(1,2), (3,4)$ and $(5,6)$ is $12$ $14$ $16$ $18$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

16
views
isi2015dcg
numericalability
geometry
lines
circle
+1
vote
1
answer
9
ISI2015DCG39
The medians $AD$ and $BE$ of the triangle with vertices $A(0,b)$, $B(0,0)$ and $C(a,0)$ are mutually perpendicular if $b=\sqrt{2}a$ $b=\pm \sqrt{2}b$ $b= – \sqrt{2}a$ $b=a$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

21
views
isi2015dcg
numericalability
geometry
triangles
median
0
votes
0
answers
10
ISI2015DCG40
The equations $x=a \cos \theta + b \sin \theta$ and $y=a \sin \theta + b \cos \theta$, $( 0 \leq \theta \leq 2 \pi$ and $a,b$ are arbitrary constants) represent a circle a parabola an ellipse a hyperbola
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

46
views
isi2015dcg
numericalability
trigonometry
geometry
0
votes
0
answers
11
ISI2015DCG41
A straight line touches the circle $x^2 +y^2=2a^2$ and also the parabola $y^2=8ax$. Then the equation of the straight line is $y=\pm x$ $y=\pm (x+a)$ $y=\pm (x+2a)$ $y=\pm (x21)$
asked
Sep 18, 2019
in
Others
by
gatecse
Boss
(
17.5k
points)

16
views
isi2015dcg
geometry
parabola
0
votes
0
answers
12
ISI2015DCG42
In an ellipse, the distance between its foci is $6$ and its minor axis is $8$. hen its eccentricity is $\frac{4}{5}$ $\frac{1}{\sqrt{52}}$ $\frac{3}{5}$ $\frac{1}{2}$
asked
Sep 18, 2019
in
Others
by
gatecse
Boss
(
17.5k
points)

16
views
isi2015dcg
geometry
ellipses
0
votes
0
answers
13
ISI2015DCG43
Four tangents are drawn to the ellipse $\displaystyle{}\frac{x^2}{9} + \frac{y^2}{5} =1$ at the ends of its latera recta. The area of the quadrilateral so formed is $27$ $\frac{13}{2}$ $\frac{15}{4}$ $45$
asked
Sep 18, 2019
in
Others
by
gatecse
Boss
(
17.5k
points)

18
views
isi2015dcg
geometry
ellipses
quadrilateral
0
votes
1
answer
14
ISI2015DCG44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2x^2=32$ $x^2y^2=16$ $y^2x^2=16$ $x^2y^2=32$
asked
Sep 18, 2019
in
Others
by
gatecse
Boss
(
17.5k
points)

22
views
isi2015dcg
geometry
hyperbola
0
votes
0
answers
15
ISI2015DCG53
Four squares of sides $x$ cm each are cut off from the four corners of a square metal sheet having side $100$ cm. The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^2$ with $cm^3$. The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

13
views
isi2015dcg
numericalability
geometry
squares
0
votes
1
answer
16
ISI2015DCG59
If in a $\Delta ABC$, $\angle B = \frac{2 \pi}{3}$, then $\cos A + \cos C$ lies in $[\: \sqrt{3}, \sqrt{3}\:]$ $(\: – \sqrt{3}, \sqrt{3}\:]$ $(\:\frac{3}{2}, \sqrt{3}\:)$ $(\:\frac{3}{2}, \sqrt{3}\:]$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

28
views
isi2015dcg
numericalability
geometry
trigonometry
0
votes
0
answers
17
ISI2015DCG60
Which of the following relations is true for the following figure? $b^2 = c(c+a)$ $c^2 = a(a+b)$ $a^2=b(b+c)$ All of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

18
views
isi2015dcg
numericalability
geometry
triangles
0
votes
0
answers
18
ISI2016DCG51
Four squares of sides $x\: cm$ each are cut off from the four corners of a square metal sheet having side $10\: cm.$ The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^{2}$ per $cm^{3}.$ The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

12
views
isi2016dcg
numericalability
geometry
0
votes
0
answers
19
ISI2016DCG59
If in a $\triangle ABC,\angle B=\dfrac{2\pi}{3},$ then $\cos A+\cos C$ lies in $\left[\:\sqrt{3},\sqrt{3}\:\right]$ $\left(\:\sqrt{3},\sqrt{3}\:\right]$ $\left(\:\frac{3}{2},\sqrt{3}\:\right)$ $\left(\:\frac{3}{2},\sqrt{3}\:\right]$
asked
Sep 18, 2019
in
Geometry
by
gatecse
Boss
(
17.5k
points)

12
views
isi2016dcg
geometry
triangles
trigonometry
nongate
0
votes
1
answer
20
ISI2017DCG2
The area of the shaded region in the following figure (all the arcs are circular) is $\pi$ $2 \pi$ $3 \pi$ $\frac{9}{8} \pi$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

21
views
isi2017dcg
numericalability
geometry
area
0
votes
1
answer
21
ISI2017DCG14
If $a,b,c$ are the sides of a triangle such that $a:b:c=1: \sqrt{3}:2$, then $A:B:C$ (where $A,B,C$ are the angles opposite to the sides of $a,b,c$ respectively) is $3:2:1$ $3:1:2$ $1:2:3$ $1:3:2$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

14
views
isi2017dcg
numericalability
geometry
triangles
0
votes
0
answers
22
ISI2017DCG18
If $a,b,c$ are the sides of $\Delta ABC$, then $\tan \frac{BC}{2} \tan \frac{A}{2}$ is equal to $\frac{b+c}{bc}$ $\frac{bc}{b+c}$ $\frac{cb}{c+b}$ none of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

13
views
isi2017dcg
numericalability
trigonometry
geometry
0
votes
0
answers
23
ISI2017DCG19
The angle between the tangents drawn from the point $(1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{1} (\frac{1}{2})$ $\tan^{1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

11
views
isi2017dcg
numericalability
geometry
circle
trigonometry
0
votes
1
answer
24
ISI2017DCG20
If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes are $(3,2)$, then the equation of the straight line is $2x+3y=12$ $3x+2y=0$ $2x+3y=0$ $3x+2y=12$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

13
views
isi2017dcg
numericalability
geometry
lines
0
votes
1
answer
25
ISI2017DCG21
If $a,b,c$ are in $A.P.$ , then the straight line $ax+by+c=0$ will always pass through the point whose coordinates are $(1,2)$ $(1,2)$ $(1,2)$ $(1,2)$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

15
views
isi2017dcg
numericalability
geometry
lines
arithmeticseries
0
votes
1
answer
26
ISI2017DCG29
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is $2$ $4$ $6$ $8$
asked
Sep 18, 2019
in
Geometry
by
gatecse
Boss
(
17.5k
points)

22
views
isi2017dcg
nongate
geometry
area
+1
vote
1
answer
27
ISI2018DCG15
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is $6$ $9$ $12$ $18$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

21
views
isi2018dcg
numericalability
numbersystem
geometry
parallelograms
+1
vote
2
answers
28
ISI2019MMA17
The reflection of the point $(1,2)$ with respect to the line $x + 2y =15$ is $(3,6)$ $(6,3)$ $(5,10)$ $(10,5)$
asked
May 7, 2019
in
Geometry
by
Sayan Bose
Loyal
(
7.4k
points)

146
views
isi2019mma
nongate
geometry
+1
vote
1
answer
29
ISI2019MMA16
If $S$ and $S’$ are the foci of the ellipse $3x^2 + 4y^2=12$ and $P$ is a point on the ellipse, then the perimeter of the triangle $PSS’$ is $4$ $6$ $8$ dependent on the coordinates of $P$
asked
May 7, 2019
in
Geometry
by
Sayan Bose
Loyal
(
7.4k
points)

88
views
isi2019mma
nongate
geometry
+4
votes
1
answer
30
GATE2019 CE1: GA3
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ladder is resting at a point located at onefifth of the height of the pole from the bottom, the height of the pole is ______ meters. $15$ $25$ $30$ $35$
asked
Feb 14, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

121
views
gate2019ce1
generalaptitude
numericalability
geometry
Page:
1
2
3
4
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
ISRO CSE 2020 PAPER ANALYSE
BARC OCES/DGFS 2020
ISI CMI PDF by GATE Overflow
Calculus Important Points
Management Trainee Recruitment COAL INDIA 2020
Follow @csegate
Recent questions tagged geometry
Recent Blog Comments
@nsaisirisha Yes they will give marks only...
When will the results be declared based on...
For the questions with two answers as per the...
@MiNiPanda Congrax mate for this success !
Mostly authentic links, it can be Stackoverflow,...
50,737
questions
57,332
answers
198,441
comments
105,197
users