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Recent questions and answers in Geometry
+1
vote
1
answer
1
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 $5$ $7$ $1$ $3$
answered
Oct 4
in
Geometry
by
`JEET
Boss
(
11.3k
points)

9
views
isi2015mma
line
nongate
0
votes
1
answer
2
ISI2015MMA49
The polar equation $r=a \cos \theta$ represents a spiral a parabola a circle none of the above
answered
Sep 24
in
Geometry
by
`JEET
Boss
(
11.3k
points)

8
views
isi2015mma
trigonometry
nongate
0
votes
1
answer
3
ISI2015MMA32
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals $\sqrt{2/3}$ $\sqrt{3/2}$ $3/ \sqrt{2}$ $\sqrt{2}/3$
answered
Sep 24
in
Geometry
by
`JEET
Boss
(
11.3k
points)

7
views
isi2015mma
geometry
equilateraltriangle
nongate
0
votes
0
answers
4
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
5
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
6
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
7
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
8
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
0
answers
9
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
10
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
0
votes
0
answers
11
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
12
ISI2015MMA86
The coordinates of a moving point $P$ satisfy the equations $\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=\sin^2x, \:\:\:\:\: t \geq 0.$ If the curve passes through the point $(\pi/2, 0)$ when $t=0$, then the equation of the curve in rectangular coordinates is $y=1/2 \cos ^2 x$ $y=\sin 2x$ $y=\cos 2x+1$ $y=\sin ^2 x1$
asked
Sep 23
in
Geometry
by
Arjun
Veteran
(
423k
points)

6
views
isi2015mma
trigonometry
curves
nongate
0
votes
1
answer
13
ISI2016DCG16
The set $\{(x,y)\: :\: \mid x\mid+\mid y\mid\:\leq\:1\}$ is represented by the shaded region in
answered
Sep 19
in
Geometry
by
Bharat Makhija
(
27
points)

6
views
isi2016dcg
curves
area
nongate
0
votes
0
answers
14
ISI2016DCG15
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
in
Geometry
by
gatecse
Boss
(
16.6k
points)

6
views
isi2016dcg
area
curves
nongate
+1
vote
1
answer
15
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 $P$
answered
May 7
in
Geometry
by
Shikha Mallick
Active
(
3.4k
points)

81
views
isi2019mma
nongate
geometry
+1
vote
2
answers
16
ISI2019MMA17
The reflection of the point $(1,2)$ with respect to the line $x + 2y =15$ is $(3,6)$ $(6,3)$ $(5,10)$ $(10,5)$
answered
May 7
in
Geometry
by
Shikha Mallick
Active
(
3.4k
points)

139
views
isi2019mma
nongate
geometry
+2
votes
2
answers
17
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 $P(1, 1)$ ...
answered
Dec 12, 2018
in
Geometry
by
V Sharma
(
209
points)

654
views
ugcnetdec2014iii
geometry
nongate
+4
votes
1
answer
18
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
answered
Aug 10, 2016
in
Geometry
by
Sanjay Sharma
Boss
(
48.6k
points)

1.1k
views
ugcnetdec2015iii
geometry
linescurves
+2
votes
1
answer
19
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)
answered
Jul 1, 2016
in
Geometry
by
Abhimanyu Singh 1
(
181
points)

2k
views
isro2014
geometry
nongate
+5
votes
2
answers
20
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
answered
Jul 1, 2016
in
Geometry
by
Kapil
Veteran
(
50.5k
points)

2.2k
views
isro2014
nongate
geometry
+3
votes
1
answer
21
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
answered
Jun 28, 2016
in
Geometry
by
Shubhi Tiwari
Junior
(
755
points)

2.7k
views
isro2014
circle
geometry
+1
vote
1
answer
22
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$ $\cos \theta$ $\sin \theta$
answered
Jun 18, 2016
in
Geometry
by
ManojK
Boss
(
38.4k
points)

1.5k
views
isro2011
geometry
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