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Recent questions tagged geometry
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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
in
Numerical Ability
by
Arjun
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(
422k
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12
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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
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

8
views
isi2014dcg
numericalability
geometry
rectangle
straightline
0
votes
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
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

14
views
isi2014dcg
numericalability
geometry
circle
square
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
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

11
views
isi2014dcg
numericalability
geometry
circle
0
votes
2
answers
5
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

13
views
isi2015dcg
numericalability
geometry
area
0
votes
2
answers
6
ISI2015DCG17
The set $\{(x,y): \mid x \mid + \mid y \mid \leq 1\}$ is represented by the shaded region in
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

14
views
isi2015dcg
numericalability
geometry
area
0
votes
1
answer
7
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

10
views
isi2015dcg
numericalability
geometry
straightline
circle
+1
vote
1
answer
8
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

13
views
isi2015dcg
numericalability
geometry
triangles
medians
0
votes
0
answers
9
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

37
views
isi2015dcg
numericalability
trigonometry
geometry
0
votes
0
answers
10
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
in
Others
by
gatecse
Boss
(
16.6k
points)

11
views
isi2015dcg
geometry
parabola
0
votes
0
answers
11
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
in
Others
by
gatecse
Boss
(
16.6k
points)

11
views
isi2015dcg
geometry
ellipse
0
votes
0
answers
12
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
in
Others
by
gatecse
Boss
(
16.6k
points)

13
views
isi2015dcg
geometry
ellipse
quadrilateral
0
votes
1
answer
13
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
in
Others
by
gatecse
Boss
(
16.6k
points)

15
views
isi2015dcg
geometry
hyperbola
eccentricity
0
votes
0
answers
14
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

9
views
isi2015dcg
numericalability
geometry
squares
0
votes
1
answer
15
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

20
views
isi2015dcg
numericalability
geometry
trigonometry
0
votes
0
answers
16
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

11
views
isi2015dcg
numericalability
geometry
triangles
0
votes
1
answer
17
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

7
views
isi2017dcg
numericalability
geometry
area
0
votes
1
answer
18
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

7
views
isi2017dcg
numericalability
geometry
triangles
0
votes
0
answers
19
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

7
views
isi2017dcg
numericalability
trigonometry
geometry
0
votes
0
answers
20
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

6
views
isi2017dcg
numericalability
geometry
circle
trigonometry
0
votes
1
answer
21
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

7
views
isi2017dcg
numericalability
geometry
straightline
0
votes
1
answer
22
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

6
views
isi2017dcg
numericalability
geometry
straightline
arithmeticseries
0
votes
0
answers
23
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
in
Numerical Ability
by
gatecse
Boss
(
16.6k
points)

9
views
isi2017dcg
numericalability
geometry
area
+1
vote
2
answers
24
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
in
Geometry
by
Sayan Bose
Loyal
(
7.1k
points)

139
views
isi2019mma
nongate
geometry
+1
vote
1
answer
25
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
in
Geometry
by
Sayan Bose
Loyal
(
7.1k
points)

81
views
isi2019mma
nongate
geometry
+3
votes
1
answer
26
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
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

81
views
gate2019ce1
generalaptitude
numericalability
geometry
+1
vote
1
answer
27
GATE2019 CE1: GA9
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is _______ cm. $18.50$ $15.10$ $10.00$ $8.50$
asked
Feb 14
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

51
views
gate2019ce1
generalaptitude
numericalability
geometry
+1
vote
1
answer
28
GATE2019 CE2: GA3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
asked
Feb 12
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

43
views
gate2019ce2
generalaptitude
numericalability
geometry
+1
vote
1
answer
29
GATE2019 CE2: GA4
A retaining wall with measurements $30$ m $\times12$ m $ \times 6$ m was constructed with bricks of dimensions $8$ cm $\times6$ cm $ \times 6$ cm. If $60\%$ of the wall consists of bricks, the number of bricks used for the construction is _______ lakhs. $30$ $40$ $45$ $75$
asked
Feb 12
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

44
views
gate2019ce2
generalaptitude
numericalability
geometry
+1
vote
1
answer
30
GATE2019 IN: GA3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
asked
Feb 10
in
Numerical Ability
by
Arjun
Veteran
(
422k
points)

52
views
gate2019in
generalaptitude
numericalability
geometry
percentage
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