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Recent questions tagged geometry
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Geometry
Which of the triangles is an isosceles triangle having the three angles : $40^{\circ},50^{\circ},90^{\circ}$ $30^{\circ},60^{\circ},90^{\circ}$ $45^{\circ},45^{\circ},90^{\circ}$ $35^{\circ},55^{\circ},90^{\circ}$
asked
May 21
in
Numerical Ability
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Dhanraj vishwakarma
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355
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65
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geometry
triangle
+7
votes
3
answers
2
GATE2018GA9
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD  \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$
asked
Feb 14
in
Numerical Ability
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gatecse
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gate2018
numericalability
geometry
normal
+5
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3
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3
GATE2018GA3
The area of a square is $d$. What is the area of the circle which has the diagonal of the square as its diameter? $\large{\pi} d$ $\large{\pi} d^2$ $\dfrac{1}{4}\large{\pi} d^2$ $\dfrac{1}{2}\large{\pi} d$
asked
Feb 14
in
Numerical Ability
by
gatecse
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18.1k
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gate2018
numericalability
geometry
circle
normal
0
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0
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4
Apptitude: Geometry
Can some one please provide the derivation for 1) Area of circle in side any triangle. 2) Area of circle enclosing the triangle. i.e. Circle is covering whole triangle. 3) Area of circle in side any rectangle. 4) Area of circle enclosing the rectangle. i.e. Circle is covering whole rectangle. Any ref will be appreciated.
asked
Aug 30, 2017
in
Numerical Ability
by
Shubhanshu
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15.2k
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68
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quantitativeaptitude
geometry
0
votes
0
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5
Is last year
Angles between any pair of 4 main diagonals of a cube are?
asked
Apr 24, 2017
in
Other Colleges
by
2394prachi
(
7
points)

41
views
#isi
#maths
#cube
geometry
+2
votes
1
answer
6
GATE2016Session7GA9
A square pyramid has a base perimeter $x$, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid $x^{2}$ $0.75 x^{2}$ $0.50 x^{2}$ $0.25 x^{2}$
asked
Jan 25, 2017
in
Numerical Ability
by
makhdoom ghaya
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gate2016session7aptitude
geometry
numericalability
+3
votes
1
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7
GATE2016Session3GA10
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM? $30$ $40$ $120$ $180$
asked
Jan 21, 2017
in
Numerical Ability
by
makhdoom ghaya
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40.2k
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621
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gate2016session3aptitude
geometry
numericalability
+1
vote
2
answers
8
GATE2016Session2GA5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is $6$ m, the area of the window in $m^{2}$ is ___________. $1.43$ $2.06$ $2.68$ $2.88$
asked
Jan 20, 2017
in
Numerical Ability
by
makhdoom ghaya
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40.2k
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gate2016session2aptitude
numericalability
geometry
0
votes
1
answer
9
GATE2016Session2GA1
The volume of a sphere of diameter $1$ unit is ______ than the volume of a cube of side $1$ unit. Least Less Lesser Low
asked
Jan 20, 2017
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
points)

272
views
gate2016session2aptitude
geometry
numericalability
+2
votes
1
answer
10
TIFR2017A13
A set of points $S \subseteq \mathbb{R}^2$ is convex if for any points $x, \: y \: \in S$, every point on the straight line joining $x$ and $y$ is also in $S$. For two sets of points $S, T \subset \mathbb{R}^2$, define the sum $S+T$ as the set of points ... T$ and $ST$ is convex, but it depends on $S$ and $T$ which one neither $S+T$ nor $ST$ is convex both $S+T$ and $ST$ are convex
asked
Dec 22, 2016
in
Numerical Ability
by
jothee
Veteran
(
101k
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145
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tifr2017
numericalability
geometry
+3
votes
2
answers
11
TIFR2017A8
In a tutorial on geometrical constructions, the teacher asks a student to construct a rightangled triangle ABC where the hypotenuse BC is 8 inches and the length of the perpendicular dropped from A onto the hypotenuse is $h$ inches, and offers various choices for teh value of $h$ ... a triangle NOT exist? 3.90 inches $2 \sqrt{2}$ inches $2 \sqrt{3}$ inches 4.1 inches none of the above
asked
Dec 21, 2016
in
Numerical Ability
by
jothee
Veteran
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101k
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242
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tifr2017
numericalability
geometry
+3
votes
1
answer
12
UGCNETDec2015III32
The end points of a given line are (0,0) and (6,18). Compute each value of y as x steps from 0 to 3, by using equation of straight line: For x=0, y=0; x=1, y=3; x=2, y=6; x=3, y=9 For x=0, y=1; x=1, y=3; x=2, y=4; x=3, y=9 For x=0, y=2; x=1, y=3; x=2, y=6; x=3, y=9 For x=0, y=0; x=1, y=3; x=2, y=4; x=3, y=6
asked
Aug 10, 2016
in
Geometry
by
jothee
Veteran
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101k
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761
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ugcnetdec2015iii
geometry
linescurves
+2
votes
1
answer
13
UGCNETDec2014III16
Consider a triangle represented by $A(0, 0), B(1, 1), C(5, 2)$. The triangle is rotated by $45$ degrees about a point $P(1, 1)$. The co ordinates of the new triangle obtained after rotation shall be ________. $A'(1, \sqrt{2}1), B'(1, 2\sqrt{2}1), C'\left(\frac{3}{2}\ ... 1, \sqrt{2}1), B'(2\sqrt{2}1, 1), C'\left(\frac{9}{2}\sqrt{2}1, \frac{3}{2}\sqrt{2}1\right)$
asked
Jul 25, 2016
in
Geometry
by
makhdoom ghaya
Boss
(
40.2k
points)

514
views
ugcnetdec2014iii
geometry
nongate
0
votes
1
answer
14
UGCNETJune2014III04
Consider a window bounded by the lines : $x = 0; y= 0; x = 5$ and $y = 3$. The line segment joining $(1, 0)$ and $(4, 5)$, if clipped against this window will connect the points $(0, 1)$ and $(2, 3)$ $(0, 1)$ and $(3, 3)$ $(0, 1)$ and $(4, 3)$ $(0, 1)$ and $(3, 2)$
asked
Jul 4, 2016
in
Computer Graphics
by
makhdoom ghaya
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40.2k
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1.2k
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ugcnetjune2014iii
nongate
geometry
graphics
+2
votes
1
answer
15
ISRO201465
A cube of side 1 unit is placed in such a way that the origin coincides with one of its top vertices and the three axes along three of its edges. What are the coordinates of the vertex which is diagonally opposite to the vertex whose coordinates are (1, 0, 1)? (0, 0, 0) (0, 1, 0) (0, 1, 0) (1, 1, 1)
asked
Jul 1, 2016
in
Geometry
by
jothee
Veteran
(
101k
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1.8k
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isro2014
geometry
nongate
+5
votes
2
answers
16
ISRO201454
The conic section that is obtained when a right circular cone is cut through a plane that is parallel to the side of the cone is called _____ parabola hyperpola circle ellipse
asked
Jul 1, 2016
in
Geometry
by
jothee
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101k
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2k
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isro2014
nongate
geometry
+3
votes
1
answer
17
ISRO20149
Let $R$ be the radius of the circle. What is the angle subtended by an arc of length $R$ at the center of the circle? 1 degree 1 radian 90 degrees $\pi$ radians
asked
Jun 24, 2016
in
Geometry
by
Anuanu
(
343
points)

2.5k
views
isro2014
circle
geometry
+1
vote
1
answer
18
ISRO201176
What is the matrix that represents rotation of an object by $\theta^0$ about the origin in 2D? $\cos \theta$ $ \sin \theta$ $\sin \theta$ $\cos \theta$ $\sin \theta$ $ \cos \theta$ $\cos \theta$ $\sin \theta$ $\cos \theta$ $ \sin \theta$ $\cos \theta$ $\sin \theta$ $\sin \theta$ $ \cos \theta$ $\cos \theta$ $\sin \theta$
asked
Jun 18, 2016
in
Geometry
by
asu
Boss
(
10.9k
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1.4k
views
isro2011
geometry
+1
vote
0
answers
19
ISI2013A1
The vertices of a triangle $T$ are given. For an arbitrary point $P$ in the plane, give an algorithm to test if $P$ belongs to the interior of $T$. (The interior of $T$ does not include its edges).
asked
May 31, 2016
in
Numerical Ability
by
jothee
Veteran
(
101k
points)

81
views
descriptive
isi2013
numericalability
geometry
+1
vote
0
answers
20
CMI2014A07
Let $M$ be the maximum number of unit disks (disks of radius 1) that can be placed inside a disk of radius 10 so that each unit disk lies entirely within the larger disk and no two unit disks overlap. Then: $M < 25$ $25 \leq M < 40$ $40 \leq M < 55$ $M \geq 55$
asked
May 27, 2016
in
Numerical Ability
by
jothee
Veteran
(
101k
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25
views
cmi2014
numericalability
geometry
+6
votes
6
answers
21
ISRO201372
How many diagonals can be drawn by joining the angular points of an octagon? $14$ $20$ $21$ $28$
asked
May 13, 2016
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
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2.7k
views
isro2013
numericalability
geometry
0
votes
1
answer
22
B.Math. 2005
Let $0 < \theta < \pi$. The area of the triangle in the plane formed by the vertices $(1,0), (1,0), (\cos\theta, \sin\theta)$ is not more than $1$ can be more than $1$ but not more than $2$ can be more than $2$ but not more than $\pi$ can be more than $\pi$ but not more than $2\pi$
asked
Mar 23, 2016
in
Numerical Ability
by
vijaycs
Boss
(
25.9k
points)

77
views
numericalability
geometry
+4
votes
1
answer
23
GATE2014ae4
If $y=5x^2+3$, then the tangent at $x=0$, $y=3$ passes through $x=0,y=0$ has a slope of $+1$ is parallel to the $x$axis has a slope of $1$
asked
Feb 16, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
42.8k
points)

689
views
gate2014ae
numericalability
geometry
cartesiancoordinates
+2
votes
1
answer
24
GATE2012AE9
Two points $(4, p)$ and $(0, q)$ lie on a straight line having a slope of $3/4$. The value of $( p – q)$ is $3$ $0$ $3$ $4$
asked
Feb 16, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
42.8k
points)

155
views
gate2012ae
numericalability
cartesiancoordinates
geometry
+14
votes
3
answers
25
GATE20161GA05
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is ________. $56$ $64$ $72$ $96$
asked
Feb 12, 2016
in
Numerical Ability
by
Sandeep Singh
Loyal
(
7.8k
points)

3.2k
views
gate20161
numericalability
geometry
normal
+2
votes
1
answer
26
GATE 2015 Aptitude Set 3 Q8
From a circular sheet of paper of radius 30 cm, a sector of 10% area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is _____
asked
Feb 12, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
42.8k
points)

1.7k
views
gate2015aptiset3
geometry
numericalability
normal
+2
votes
1
answer
27
TIFR2011MathsB15
A gardener throws $18$ seeds onto an equilateral triangle shaped plot of land with sides of length one metre. Then at least two seeds are within a distance of $25$ centimetres. TRUE/FALSE
asked
Dec 10, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
points)

132
views
tifrmaths2011
numericalability
geometry
+3
votes
1
answer
28
TIFR2015A9
Consider a square of side length $2$. We throw five points into the square. Consider the following statements: (i) There will always be three points that lie on a straight line. (ii) There will always be a line connecting a pair of points such that two points lie on one side of the line ... above is true: $(i)$ only. $(ii)$ only. $(iii)$ only. $(ii)$ and $(iii)$. None of the above.
asked
Dec 5, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
points)

183
views
tifr2015
geometry
+6
votes
1
answer
29
TIFR2015A2
Consider a circle with a circumference of one unit length. Let $d< \dfrac{1}{6}$. Suppose that we independently throw two arcs, each of length $d$, randomly on this circumference so that each arc is uniformly distributed along the circle circumference. The arc attaches itself exactly to the circumference ... $(1  3d)$ It equals $(1  2d)$ It equals $1$ It equals $(1  d)$ $(1  d)$
asked
Dec 2, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
points)

197
views
tifr2015
geometry
+2
votes
0
answers
30
TIFR2014A13
Let $L$ be a line on the two dimensional plane. $L'$s intercepts with the $X$ and $Y$ axes are respectively $a$ and $b$. After rotating the coordinate system (and leaving $L$ untouched), the new intercepts are $a'$ and $b'$ respectively. Which of the following is TRUE? $\frac{1}{a}+\frac{1}{b}=\ ... }{b'^{2}}$. $\frac{b}{a}+\frac{a}{b}=\frac{b'}{a'}+\frac{a'}{b'}$. None of the above.
asked
Nov 14, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
40.2k
points)

80
views
tifr2014
geometry
cartesiancoordinates
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