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Recent questions tagged triangles
1
vote
1
answer
1
GATE Mechanical 2022 Set 1 | GA Question: 8
An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$
Arjun
asked
in
Quantitative Aptitude
Feb 15, 2022
by
Arjun
514
views
gateme-2022-set1
quantitative-aptitude
geometry
triangles
4
votes
1
answer
2
GATE Civil 2021 Set 2 | GA Question: 10
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divided into eight equals parts. The length of each subdivided part in $\text{cm}$ is an integer. ... triangle $\text{PQR}$ possible, in $\text{cm}^{2}$, is $18$ $24$ $48\sqrt{3}$ $144 \sqrt{3}$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2021
by
go_editor
1.2k
views
gatecivil-2021-set2
quantitative-aptitude
geometry
triangles
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
1.9k
views
gateme-2021-set1
quantitative-aptitude
geometry
triangles
circle
area
5
votes
1
answer
4
GATE ECE 2021 | GA Question: 10
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is $2:3$ $3:4$ $4:5$ $5:6$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2021
by
Arjun
2.9k
views
gateec-2021
quantitative-aptitude
geometry
triangles
area
2
votes
1
answer
5
CMI-2020-DataScience-B: 4
In the figure shown below, the circle has diameter $5$. Moreover, $AB$ is parallel to $DE.$ If $DE=3$ and $AB=6,$ what is the area of triangle $ABC?$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 29, 2021
by
soujanyareddy13
320
views
cmi2020-datascience
geometry
triangles
0
votes
1
answer
6
ISI2015-MMA-32
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals $\sqrt{2/3}$ $\sqrt{3/2}$ $3/ \sqrt{2}$ $\sqrt{2}/3$
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
537
views
isi2015-mma
triangles
non-gate
1
vote
1
answer
7
ISI2015-DCG-39
The medians $AD$ and $BE$ of the triangle with vertices $A(0,b)$, $B(0,0)$ and $C(a,0)$ are mutually perpendicular if $b=\sqrt{2}a$ $b=\pm \sqrt{2}b$ $b= – \sqrt{2}a$ $b=a$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
435
views
isi2015-dcg
quantitative-aptitude
geometry
triangles
median
0
votes
0
answers
8
ISI2015-DCG-60
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
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
243
views
isi2015-dcg
quantitative-aptitude
geometry
triangles
0
votes
1
answer
9
ISI2016-DCG-39
The medians $AD$ and $BE$ of the triangle with vertices $A(0,b),B(0,0)$ and $C(a,0)$ are mutually perpendicular if $b=\sqrt{2}a$ $a=\pm\sqrt{2}b$ $b=-\sqrt{2}a$ $b=a$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
310
views
isi2016-dcg
triangles
non-gate
0
votes
0
answers
10
ISI2016-DCG-59
If in a $\triangle ABC,\angle B=\dfrac{2\pi}{3},$ then $\cos A+\cos C$ lies in $\left[\:-\sqrt{3},\sqrt{3}\:\right]$ $\left(\:-\sqrt{3},\sqrt{3}\:\right]$ $\left(\:\frac{3}{2},\sqrt{3}\:\right)$ $\left(\:\frac{3}{2},\sqrt{3}\:\right]$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
343
views
isi2016-dcg
geometry
triangles
trigonometry
non-gate
0
votes
0
answers
11
ISI2016-DCG-60
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
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
382
views
isi2016-dcg
triangles
non-gate
0
votes
1
answer
12
ISI2017-DCG-14
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 $3:2:1$ $3:1:2$ $1:2:3$ $1:3:2$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
436
views
isi2017-dcg
quantitative-aptitude
geometry
triangles
0
votes
1
answer
13
ISI2018-DCG-22
Let the sides opposite to the angles $A,B,C$ in a triangle $ABC$ be represented by $a,b,c$ respectively. If $(c+a+b)(a+b-c)=ab,$ then the angle $C$ is $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2\pi}{3}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
358
views
isi2018-dcg
triangles
non-gate
0
votes
1
answer
14
ISI2018-DCG-23
Let $A$ be the point of intersection of the lines $3x-y=1$ and $y=1$. Let $B$ be the point of reflection of the point $A$ with respect to the $y$-axis. Then the equation of the straight line through $B$ that produces a right angled triangle $ABC$ with $\angle ABC=90^{\circ}$, and $C$ lies on the line $3x-y=1$, is $3x-3y=2$ $2x+3=0$ $3x+2=0$ $3y-2=0$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
284
views
isi2018-dcg
lines
triangles
non-gate
1
vote
2
answers
15
NIELIT 2018-8
Let us consider the length of the side of a square represented by $2y+3$. The length of the side of an equilateral triangle is $4y$. If the square and the equilateral triangle have equal perimeter, then what is the value of $y$? $3$ $4$ $6$ $8$
Arjun
asked
in
Quantitative Aptitude
Dec 7, 2018
by
Arjun
2.2k
views
nielit-2018
general-aptitude
quantitative-aptitude
geometry
triangles
0
votes
1
answer
16
ISI2016-MMA-6
Find the centroid of the triangle whose sides are given by the following equations: $\begin{matrix} 4x & - & y & = &19 \\ x &- & y & = & 4 \\ x& + & 2y & = & -11 \end{matrix}$ $\left(\frac{11}{3}, -\frac{7}{3}\right)$ ... $\left(-\frac{11}{3}, -\frac{7}{3}\right)$ $\left(\frac{7}{3}, -\frac{11}{3}\right)$
go_editor
asked
in
Geometry
Sep 13, 2018
by
go_editor
301
views
isi2016-mmamma
triangles
centroid
non-gate
1
vote
2
answers
17
Geometry
Which of the triangles is an isosceles triangle having the three angles : $40^{\circ},50^{\circ},90^{\circ}$ $30^{\circ},60^{\circ},90^{\circ}$ $45^{\circ},45^{\circ},90^{\circ}$ $35^{\circ},55^{\circ},90^{\circ}$
Dhanraj vishwakarma
asked
in
Quantitative Aptitude
May 21, 2018
by
Dhanraj vishwakarma
630
views
geometry
triangles
1
vote
2
answers
18
GATE2018 CH: GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Feb 20, 2018
by
Lakshman Bhaiya
1.2k
views
gate2018-ch
general-aptitude
quantitative-aptitude
easy
geometry
triangles
29
votes
4
answers
19
GATE CSE 2018 | Question: GA-9
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD - \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$
gatecse
asked
in
Quantitative Aptitude
Feb 14, 2018
by
gatecse
10.6k
views
gatecse-2018
quantitative-aptitude
geometry
normal
triangles
2-marks
6
votes
3
answers
20
GATE2015 ME-3: GA-8
In the given figure angle $Q$ is a right angle, $PS:QS = 3:1, RT:QT = 5:2$ and $PU:UR = 1:1. $ If area of triangle $QTS$ is $20cm^{2},$ then the area of triangle $PQR$ in $cm^{2}$ is ______
Akash Kanase
asked
in
Quantitative Aptitude
Feb 15, 2016
by
Akash Kanase
3.0k
views
gate2015-me-3
quantitative-aptitude
numerical-answers
triangles
14
votes
2
answers
21
GATE2015 ME-3: GA-9
Right triangle $PQR$ is to be constructed in the $xy$ - plane so that the right angle is at $P$ and line $PR$ is parallel to the $x$-axis. The $x$ and $y$ coordinates of $P, Q,$ and $R$ are to be integers that satisfy the inequalities: $−4\leq x\leq 5$ and $6 \leq y \leq16.$ How many different triangles could be constructed with these properties? $110$ $1,100$ $9,900$ $10,000$
Akash Kanase
asked
in
Quantitative Aptitude
Feb 15, 2016
by
Akash Kanase
3.7k
views
gate2015-me-3
quantitative-aptitude
triangles
29
votes
4
answers
22
GATE CSE 2015 Set 2 | Question: GA-8
In a triangle $PQR, PS$ is the angle bisector of $\angle QPR \text{ and } \angle QPS =60^\circ$. What is the length of $PS$ ? $\left(\dfrac{(q+r)} {qr}\right)$ $\left(\dfrac {qr} {q+r}\right)$ $\large \sqrt {(q^2 + r^2)}$ $\left(\dfrac{(q+r)^2} {qr}\right)$
go_editor
asked
in
Quantitative Aptitude
Feb 12, 2015
by
go_editor
11.0k
views
gatecse-2015-set2
quantitative-aptitude
geometry
difficult
triangles
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