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Recent questions tagged circle
1
vote
1
answer
1
TIFR CSE 2021 | Part A | Question: 2
What is the area of a rectangle with the largest perimeter that can be inscribed in the unit circle (i.e., all the vertices of the rectangle are on the circle with radius $1$)? $1$ $2$ $3$ $4$ $5$
soujanyareddy13
asked
in
Quantitative Aptitude
Mar 25, 2021
by
soujanyareddy13
407
views
tifr2021
quantitative-aptitude
geometry
circle
9
votes
2
answers
2
GATE Civil 2021 Set 2 | GA Question: 9
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at $S$ and $Q$. The probability that any point picked randomly within the square falls in the ... ____________ $4-\frac{\pi }{2}$ $\frac{1}{2}$ $\frac{\pi }{2}-1$ $\frac{\pi }{4}$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2021
by
go_editor
1.9k
views
gatecivil-2021-set2
quantitative-aptitude
geometry
circle
4
votes
1
answer
3
GATE Mechanical 2021 Set 1 | GA Question: 3
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
gatecse
asked
in
Quantitative Aptitude
Feb 22, 2021
by
gatecse
1.4k
views
gateme-2021-set1
quantitative-aptitude
geometry
triangle
circle
area
3
votes
1
answer
4
GATE Electrical 2020 | GA Question: 9
Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$, $\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$
go_editor
asked
in
Quantitative Aptitude
Feb 28, 2020
by
go_editor
408
views
gate2020-ee
quantitative-aptitude
geometry
circle
4
votes
2
answers
5
GATE ECE 2020 | GA Question: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.5k
views
gate2020-ec
quantitative-aptitude
geometry
circle
area
8
votes
2
answers
6
GATE CSE 2020 | Question: GA-8
The figure below shows an annular ring with outer and inner as $b$ and $a$, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum $n$ number of circles can be painted, then the unpainted area available in ... $\pi [(b^{2}-a^{2})+n(b-a)^{2}]$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2020
by
Arjun
3.9k
views
gatecse-2020
quantitative-aptitude
geometry
circle
area
2-marks
1
vote
1
answer
7
TIFR CSE 2020 | Part A | Question: 13
What is the area of the largest rectangle that can be inscribed in a circle of radius $R$? $R^{2}/2$ $\pi \times R^{2}/2$ $R^{2}$ $2R^{2}$ None of the above
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
375
views
tifr2020
quantitative-aptitude
geometry
circle
1
vote
1
answer
8
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
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
192
views
isi2014-dcg
circle
ellipse
2
votes
1
answer
9
ISI2014-DCG-58
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 $(2, -2)$ $(2\sqrt{2},-2)$ $(-2, 2\sqrt{2})$ $(2\sqrt{2}, -2\sqrt{2})$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
370
views
isi2014-dcg
quantitative-aptitude
geometry
circle
squares
1
vote
1
answer
10
ISI2014-DCG-60
The equation of any circle passing through the origin and with its centre on the $X$-axis is given by $x^2+y^2-2ax=0$ where $a$ must be positive $x^2+y^2-2ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^2-2by=0$ where $b$ must be positive $x^2+y^2-2by=0$ for any given $b \in \mathbb{R}$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
302
views
isi2014-dcg
quantitative-aptitude
geometry
circle
0
votes
1
answer
11
ISI2015-MMA-48
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 $\{0\}$ $(-4a,4a)$ $(-a,a)$ $(- \infty, \infty)$
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
439
views
isi2015-mma
circle
parabola
non-gate
0
votes
1
answer
12
ISI2015-DCG-38
The length of the chord on the straight line $3x-4y+5=0$ intercepted by the circle passing through the points $(1,2), (3,-4)$ and $(5,6)$ is $12$ $14$ $16$ $18$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
246
views
isi2015-dcg
quantitative-aptitude
geometry
lines
circle
0
votes
1
answer
13
ISI2017-DCG-19
The angle between the tangents drawn from the point $(-1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{-1} (\frac{1}{2})$ $\tan^{-1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
222
views
isi2017-dcg
quantitative-aptitude
geometry
circle
trigonometry
0
votes
1
answer
14
ISI2018-DCG-25
There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The straight line $PR$ is a tangent to the third circle at $C$ ... $B$ as shown in the figure.Then the length of the line segment $AB$ is $6$ units $7$ units $8$ units $9$ units
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
293
views
isi2018-dcg
circle
lines
non-gate
1
vote
1
answer
15
UPPCL AE 2018:85
The set of equations $x^{2} + y^{2} = 1$ and $x + y = 0$ has how many real solutions? Infinite number of solutions No solution $2$ solutions $1$ solution
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Jan 5, 2019
by
Lakshman Patel RJIT
266
views
uppcl2018
quantitative-aptitude
geometry
circle
0
votes
1
answer
16
ISI2017-MMA-1
The area lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and lines $x=0 \text{ and } x=1$ is given by $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}-\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
go_editor
asked
in
Geometry
Sep 15, 2018
by
go_editor
232
views
isi2017-mmamma
circle
area
non-gate
descriptive
0
votes
0
answers
17
ISI-2014-14
The locus of the center of a circle that passes through origin and cuts off a length $2a$ from the line $y=c$ is $x^2+2cx=a^2+c^2$ $x^2+2cy=a^2+c^2$ $y^2+cx=a^2+c^2$ $y^2+2cy=a^2+c^2$
jjayantamahata
asked
in
Mathematical Logic
Mar 16, 2018
by
jjayantamahata
165
views
coordinate-geometry
circle
17
votes
3
answers
18
GATE CSE 2018 | Question: GA-3
The area of a square is $d$. What is the area of the circle which has the diagonal of the square as its diameter? $\large{\pi} d$ $\large{\pi} d^2$ $\dfrac{1}{4}\large{\pi} d^2$ $\dfrac{1}{2}\large{\pi} d$
gatecse
asked
in
Quantitative Aptitude
Feb 14, 2018
by
gatecse
4.4k
views
gatecse-2018
quantitative-aptitude
geometry
circle
normal
1-mark
4
votes
1
answer
19
TIFR CSE 2018 | Part A | Question: 1
Consider a point $A$ inside a circle $C$ that is at distance $9$ from the centre of a circle. Suppose you told that there is a chord of length $24$ passing through $A$ with $A$ as its midpoint. How many distinct chords of $C$ have integer length and pass through $A?$ $2$ $6$ $7$ $12$ $14$
Arjun
asked
in
Quantitative Aptitude
Dec 10, 2017
by
Arjun
1.2k
views
tifr2018
quantitative-aptitude
geometry
circle
4
votes
1
answer
20
ISRO2014-9
Let $\text{R}$ be the radius of the circle. What is the angle subtended by an arc of length $\text{R}$ at the center of the circle? $1$ degree $1$ radian $90$ degrees $\pi$ radians
Anuanu
asked
in
Geometry
Jun 24, 2016
by
Anuanu
4.0k
views
isro2014
circle
geometry
2
votes
2
answers
21
CMI2010-A-03
The area of the largest square that can be drawn inside a circle with unit radius is $\sqrt{2}$ $2$ $1$ None of the above
go_editor
asked
in
Quantitative Aptitude
May 19, 2016
by
go_editor
549
views
cmi2010
circle
10
votes
1
answer
22
TIFR CSE 2011 | Part A | Question: 18
The equation of the tangent to the unit circle at point ($\cos \alpha, \sin \alpha $) is $x\cos \alpha-y \sin\alpha=1 $ $x\sin \alpha-y \cos\alpha =1$ $x\cos \alpha+ y\sin\alpha=1 $ $x\sin \alpha-y \cos\alpha=1 $ None of the above
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 19, 2015
by
makhdoom ghaya
901
views
tifr2011
quantitative-aptitude
geometry
circle
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