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Recent questions and answers in Geometry
3
votes
2
answers
1
ISRO2014-65
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 co-ordinates of the vertex which is diagonally opposite to the vertex whose co-ordinates are $(1, 0, 1)?$ $(0, 0, 0)$ $(0, -1, 0)$ $(0, 1, 0)$ $(1, 1, 1)$
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 co-ordina...
haakabaaka
6.9k
views
haakabaaka
answered
Dec 26, 2023
Geometry
isro2014
geometry
non-gate
+
–
0
votes
0
answers
2
Game Theory(SELF DOUBT)
legacy
87
views
legacy
asked
Apr 20, 2023
Geometry
game-theory
+
–
3
votes
3
answers
3
ISRO2011-76
What is the matrix that represents rotation of an object by $\theta^0$ about the origin in $\text{2D}?$ $\cos \theta$ $- \sin \theta$ $\sin \theta$ $\cos \theta$ $\sin \theta$ $- \cos \theta$ $\cos \theta$ $\sin \theta$ $\cos \theta$ $- \sin \theta$ $\cos \theta$ $\sin \theta$ $\sin \theta$ $- \cos \theta$ $\cos \theta$ $\sin \theta$
What is the matrix that represents rotation of an object by $\theta^0$ about the origin in $\text{2D}?$$\cos \theta$$- \sin \theta$$\sin \theta$$\cos \theta$$\sin \theta$...
Nagasaikanmatha
3.9k
views
Nagasaikanmatha
answered
Aug 2, 2021
Geometry
isro2011
geometry
+
–
0
votes
1
answer
4
ISI2015-MMA-45
Angles between any pair of $4$ main diagonals of a cube are $\cos^{-1} 1/\sqrt{3}, \pi – \cos ^{-1} 1/\sqrt{3}$ $\cos^{-1} 1/3, \pi – \cos ^{-1} 1/3$ $\pi/2$ none of the above
Angles between any pair of $4$ main diagonals of a cube are$\cos^{-1} 1/\sqrt{3}, \pi – \cos ^{-1} 1/\sqrt{3}$$\cos^{-1} 1/3, \pi – \cos ^{-1} 1/3$$\pi/2$none of the ...
rishabhjain18
565
views
rishabhjain18
answered
Jul 2, 2021
Geometry
isi2015-mma
cubes
non-gate
+
–
0
votes
1
answer
5
ISI2015-MMA-75
The length of the curve $x=t^3$, $y=3t^2$ from $t=0$ to $t=4$ is $5 \sqrt{5}+1$ $8(5 \sqrt{5}+1)$ $5 \sqrt{5}-1$ $8(5 \sqrt{5}-1)$
The length of the curve $x=t^3$, $y=3t^2$ from $t=0$ to $t=4$ is$5 \sqrt{5}+1$$8(5 \sqrt{5}+1)$$5 \sqrt{5}-1$$8(5 \sqrt{5}-1)$
NastyBall
510
views
NastyBall
answered
Jun 20, 2021
Geometry
isi2015-mma
curves
non-gate
+
–
0
votes
1
answer
6
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 $\{0\}$ $(-4a,4a)$ $(-a,a)$ $(- \infty, \infty)$
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 fou...
Amartya
671
views
Amartya
answered
May 18, 2020
Geometry
isi2015-mma
circle
parabola
non-gate
+
–
0
votes
1
answer
7
ISI2015-MMA-47
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 $xy=k$ $x^2+y^2=k^2$ $y^2+2x^2=k^2$ $x^2-y^2+2yk=k^2$
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 ...
Amartya
522
views
Amartya
answered
May 18, 2020
Geometry
isi2015-mma
curves
+
–
0
votes
1
answer
8
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 $3x-3y=2$ $2x+3=0$ $3x+2=0$ $3y-2=0$
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 ...
haralk10
315
views
haralk10
answered
Mar 15, 2020
Geometry
isi2018-dcg
lines
triangles
non-gate
+
–
0
votes
1
answer
9
ISI2016-DCG-44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2},$ then the equation of the hyperbola is $y^{2}-x^{2}=32$ $x^{2}-y^{2}=16$ $y^{2}-x^{2}=16$ $x^{2}-y^{2}=32$
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^{2}-x^{2}=32$$x^{2}-y^{2}=16$$y^{2}-x^...
haralk10
266
views
haralk10
answered
Mar 15, 2020
Geometry
isi2016-dcg
hyperbola
curves
non-gate
+
–
0
votes
1
answer
10
ISI2015-MMA-46
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
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)$$(h,k) = (1/8, -1/16)$$...
haralk10
463
views
haralk10
answered
Mar 14, 2020
Geometry
isi2015-mma
lines
non-gate
+
–
0
votes
1
answer
11
ISI2016-DCG-43
Four tangents are drawn to the ellipse $\dfrac{x^{2}}{9}+\dfrac{y^{2}}{5}=1$ at the ends of its latera recta. The area of the quadrilateral so formed is $27$ $\frac{13}{2}$ $\frac{15}{4}$ $45$
Four tangents are drawn to the ellipse $\dfrac{x^{2}}{9}+\dfrac{y^{2}}{5}=1$ at the ends of its latera recta. The area of the quadrilateral so formed is$27$$\frac{13}{2}$...
haralk10
356
views
haralk10
answered
Mar 11, 2020
Geometry
isi2016-dcg
ellipse
quadrilateral
area
non-gate
+
–
0
votes
1
answer
12
ISI2016-DCG-52
The area bounded by $y=x^{2}-4,y=0$ and $x=4$ is $\frac{64}{3}$ $6$ $\frac{16}{3}$ $\frac{32}{3}$
The area bounded by $y=x^{2}-4,y=0$ and $x=4$ is$\frac{64}{3}$$6$$\frac{16}{3}$$\frac{32}{3}$
haralk10
354
views
haralk10
answered
Mar 2, 2020
Geometry
isi2016-dcg
curves
area
non-gate
+
–
0
votes
1
answer
13
ISI2014-DCG-52
The area under the curve $x^2+3x-4$ in the positive quadrant and bounded by the line $x=5$ is equal to $59 \frac{1}{6}$ $61 \frac{1}{3}$ $40 \frac{2}{3}$ $72$
The area under the curve $x^2+3x-4$ in the positive quadrant and bounded by the line $x=5$ is equal to$59 \frac{1}{6}$$61 \frac{1}{3}$$40 \frac{2}{3}$$72$
haralk10
297
views
haralk10
answered
Mar 2, 2020
Geometry
isi2014-dcg
curves
area
+
–
1
votes
2
answers
14
ISI2016-DCG-65
The value of $\sin^{2}5^{\circ}+\sin^{2}10^{\circ}+\sin^{2}15^{\circ}+\cdots+\sin^{2}90^{\circ}$ is $8$ $9$ $9.5$ None of these
The value of $\sin^{2}5^{\circ}+\sin^{2}10^{\circ}+\sin^{2}15^{\circ}+\cdots+\sin^{2}90^{\circ}$ is$8$$9$$9.5$None of these
Lakshman Bhaiya
357
views
Lakshman Bhaiya
answered
Feb 1, 2020
Geometry
isi2016-dcg
trigonometry
non-gate
+
–
0
votes
1
answer
15
ISI2018-DCG-26
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is $9$ $\frac{27}{4}$ $36$ $18$
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is$9$$\frac{27}{4}$$36$$18$
techbd123
566
views
techbd123
answered
Nov 28, 2019
Geometry
isi2018-dcg
curves
area
non-gate
+
–
1
votes
1
answer
16
ISI2018-DCG-18
If $x+y=\pi, $ the expression $\cot \dfrac{x}{2}+\cot\dfrac{y}{2}$ can be written as $2 \: \text{cosec} \: x$ $\text{cosec} \: x + \text{cosec} \: y$ $2 \: \sin x$ $\sin x+\sin y$
If $x+y=\pi, $ the expression $\cot \dfrac{x}{2}+\cot\dfrac{y}{2}$ can be written as$2 \: \text{cosec} \: x$$\text{cosec} \: x + \text{cosec} \: y$$2 \: \sin x$$\sin x+\...
Lakshman Bhaiya
313
views
Lakshman Bhaiya
answered
Nov 28, 2019
Geometry
isi2018-dcg
trigonometry
non-gate
+
–
2
votes
1
answer
17
ISI2018-DCG-20
The value of $\tan \left(\sin^{-1}\left(\frac{3}{5}\right)+\cot^{-1}\left(\frac{3}{2}\right)\right)$ is $\frac{1}{18}$ $\frac{11}{6}$ $\frac{13}{6}$ $\frac{17}{6}$
The value of $\tan \left(\sin^{-1}\left(\frac{3}{5}\right)+\cot^{-1}\left(\frac{3}{2}\right)\right)$ is$\frac{1}{18}$$\frac{11}{6}$$\frac{13}{6}$$\frac{17}{6}$
Lakshman Bhaiya
290
views
Lakshman Bhaiya
answered
Nov 28, 2019
Geometry
isi2018-dcg
trigonometry
inverse
non-gate
+
–
0
votes
1
answer
18
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 $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2\pi}{3}$
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}$$\fra...
`JEET
376
views
`JEET
answered
Nov 20, 2019
Geometry
isi2018-dcg
triangles
non-gate
+
–
0
votes
1
answer
19
ISI2015-MMA-86
The coordinates of a moving point $P$ satisfy the equations $\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=-\sin^2x, \:\:\:\:\: t \geq 0.$ If the curve passes through the point $(\pi/2, 0)$ when $t=0$, then the equation of the curve in rectangular co-ordinates is $y=1/2 \cos ^2 x$ $y=\sin 2x$ $y=\cos 2x+1$ $y=\sin ^2 x-1$
The coordinates of a moving point $P$ satisfy the equations $$\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=-\sin^2x, \:\:\:\:\: t \geq 0.$$ If the curve passes through ...
`JEET
479
views
`JEET
answered
Nov 18, 2019
Geometry
isi2015-mma
trigonometry
curves
non-gate
+
–
0
votes
1
answer
20
ISI2017-DCG-29
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is $2$ $4$ $6$ $8$
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is$2$$4$$6$$8$
imShreyas
469
views
imShreyas
answered
Nov 18, 2019
Geometry
isi2017-dcg
non-gate
geometry
area
+
–
0
votes
1
answer
21
ISI2016-DCG-63
If $\sin^{-1}\frac{1}{\sqrt{5}}$ and $\cos^{-1}\frac{3}{\sqrt{10}}$ lie in $\left[0,\frac{\pi}{2}\right],$ their sum is equal to $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\sin^{-1}\frac{1}{\sqrt{50}}$ $\frac{\pi}{4}$
If $\sin^{-1}\frac{1}{\sqrt{5}}$ and $\cos^{-1}\frac{3}{\sqrt{10}}$ lie in $\left[0,\frac{\pi}{2}\right],$ their sum is equal to$\frac{\pi}{6}$$\frac{\pi}{3}$$\sin^{-1}\f...
`JEET
403
views
`JEET
answered
Oct 20, 2019
Geometry
isi2016-dcg
trigonometry
non-gate
+
–
0
votes
2
answers
22
ISI2016-DCG-5
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is $2p$ $p^{2}$ $(p+1)(p-1)$ $\frac{2p}{p^{2}-1}$
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is$2p$$p^{2}$$(p+1)(p-1)$$\frac{2p}{p^{2}-1}$
techbd123
470
views
techbd123
answered
Oct 12, 2019
Geometry
isi2016-dcg
trigonometry
non-gate
+
–
1
votes
1
answer
23
ISI2015-MMA-79
Let $g(x,y) = \text{max}\{12-x, 8-y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is $5$ $7$ $1$ $3$
Let $g(x,y) = \text{max}\{12-x, 8-y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is$5$$7$$1$$3$
`JEET
544
views
`JEET
answered
Oct 4, 2019
Geometry
isi2015-mma
lines
non-gate
+
–
0
votes
1
answer
24
ISI2016-DCG-61
The value of $\sin^{6}\frac{\pi}{81}+\cos^{6}\frac{\pi}{81}-1+3\sin^{2}\frac{\pi}{81}\:\cos^{2}\frac{\pi}{81}$ is $\tan^{6}\frac{\pi}{81}$ $0$ $-1$ None of these
The value of $\sin^{6}\frac{\pi}{81}+\cos^{6}\frac{\pi}{81}-1+3\sin^{2}\frac{\pi}{81}\:\cos^{2}\frac{\pi}{81}$ is$\tan^{6}\frac{\pi}{81}$$0$$-1$None of these
`JEET
258
views
`JEET
answered
Oct 2, 2019
Geometry
isi2016-dcg
trigonometry
non-gate
+
–
0
votes
1
answer
25
ISI2016-DCG-64
If $\cos2\theta=\sqrt{2}(\cos\theta-\sin\theta)$ then $\tan\theta$ equals $1$ $1$ or $-1$ $\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}$ or $1$ None of these
If $\cos2\theta=\sqrt{2}(\cos\theta-\sin\theta)$ then $\tan\theta$ equals$1$$1$ or $-1$$\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}$ or $1$None of these
`JEET
288
views
`JEET
answered
Oct 2, 2019
Geometry
isi2016-dcg
trigonometry
non-gate
+
–
0
votes
1
answer
26
ISI2014-DCG-20
If $A(t)$ is the area of the region bounded by the curve $y=e^{-\mid x \mid}$ and the portion of the $x$-axis between $-t$ and $t$, then $\underset{t \to \infty}{\lim} A(t)$ equals $0$ $1$ $2$ $4$
If $A(t)$ is the area of the region bounded by the curve $y=e^{-\mid x \mid}$ and the portion of the $x$-axis between $-t$ and $t$, then $\underset{t \to \infty}{\lim} A(...
techbd123
361
views
techbd123
answered
Oct 1, 2019
Geometry
isi2014-dcg
calculus
definite-integral
area
+
–
0
votes
1
answer
27
ISI2016-DCG-66
If $\sin(\sin^{-1}\frac{2}{5}+\cos^{-1}x)=1,$ then $x$ is $1$ $\frac{2}{5}$ $\frac{3}{5}$ None of these
If $\sin(\sin^{-1}\frac{2}{5}+\cos^{-1}x)=1,$ then $x$ is$1$$\frac{2}{5}$$\frac{3}{5}$None of these
`JEET
324
views
`JEET
answered
Sep 30, 2019
Geometry
isi2016-dcg
trigonometry
inverse
non-gate
+
–
0
votes
1
answer
28
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 $b=\sqrt{2}a$ $a=\pm\sqrt{2}b$ $b=-\sqrt{2}a$ $b=a$
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$$b=a$
`JEET
320
views
`JEET
answered
Sep 27, 2019
Geometry
isi2016-dcg
triangles
non-gate
+
–
0
votes
1
answer
29
ISI2015-MMA-49
The polar equation $r=a \cos \theta$ represents a spiral a parabola a circle none of the above
The polar equation $r=a \cos \theta$ representsa spirala parabolaa circlenone of the above
`JEET
491
views
`JEET
answered
Sep 24, 2019
Geometry
isi2015-mma
trigonometry
non-gate
+
–
0
votes
1
answer
30
ISI2015-MMA-32
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals $\sqrt{2/3}$ $\sqrt{3/2}$ $3/ \sqrt{2}$ $\sqrt{2}/3$
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals$\sqrt{2/3}$$\sqrt{3/2}$$3/ \sqrt{2}$$\sqrt{2}/3$
`JEET
558
views
`JEET
answered
Sep 24, 2019
Geometry
isi2015-mma
triangles
non-gate
+
–
0
votes
0
answers
31
ISI2014-DCG-27
Let $y^2-4ax+4a=0$ and $x^2+y^2-2(1+a)x+1+2a-3a^2=0$ be two curves. State which one of the following statements is true. These two curves intersect at two points These two curves are tangent to each other These two curves intersect orthogonally at one point These two curves do not intersect
Let $y^2-4ax+4a=0$ and $x^2+y^2-2(1+a)x+1+2a-3a^2=0$ be two curves. State which one of the following statements is true.These two curves intersect at two pointsThese two ...
Arjun
333
views
Arjun
asked
Sep 23, 2019
Geometry
isi2014-dcg
curves
+
–
0
votes
0
answers
32
ISI2015-MMA-35
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
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 $g$ agr...
Arjun
439
views
Arjun
asked
Sep 23, 2019
Geometry
isi2015-mma
trigonometry
non-gate
+
–
0
votes
0
answers
33
ISI2015-MMA-64
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
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 $...
Arjun
458
views
Arjun
asked
Sep 23, 2019
Geometry
isi2015-mma
trigonometry
curves
non-gate
+
–
0
votes
0
answers
34
ISI2015-MMA-82
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
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}$$28 \pi/3...
Arjun
421
views
Arjun
asked
Sep 23, 2019
Geometry
isi2015-mma
area
non-gate
+
–
0
votes
1
answer
35
ISI2016-DCG-16
The set $\{(x,y)\: :\: \mid x\mid+\mid y\mid\:\leq\:1\}$ is represented by the shaded region in
The set $\{(x,y)\: :\: \mid x\mid+\mid y\mid\:\leq\:1\}$ is represented by the shaded region in
Bharat Makhija
293
views
Bharat Makhija
answered
Sep 19, 2019
Geometry
isi2016-dcg
curves
area
non-gate
+
–
0
votes
1
answer
36
ISI2018-DCG-25
There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The straight line $PR$ is a tangent to the third circle at $C$ ... $B$ as shown in the figure.Then the length of the line segment $AB$ is $6$ units $7$ units $8$ units $9$ units
There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The ...
ankitgupta.1729
471
views
ankitgupta.1729
answered
Sep 18, 2019
Geometry
isi2018-dcg
circle
lines
non-gate
+
–
0
votes
0
answers
37
ISI2016-DCG-15
The shaded region in the following diagram represents the relation $y\:\leq\: x$ $\mid \:y\mid \:\leq\: \mid x\:\mid $ $y\:\leq\: \mid x\:\mid$ $\mid \:y\mid\: \leq\: x$
The shaded region in the following diagram represents the relation$y\:\leq\: x$$\mid \:y\mid \:\leq\: \mid x\:\mid $$y\:\leq\: \mid x\:\mid$$\mid \:y\mid\: \leq\: x$
gatecse
399
views
gatecse
asked
Sep 18, 2019
Geometry
isi2016-dcg
area
curves
non-gate
+
–
0
votes
0
answers
38
ISI2016-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 $12$ $14$ $16$ $18$
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$$18$
gatecse
213
views
gatecse
asked
Sep 18, 2019
Geometry
isi2016-dcg
lines
non-gate
+
–
0
votes
0
answers
39
ISI2016-DCG-40
The equations $x=a\cos\theta+b\sin\theta$ and $y=a\sin\theta+b\cos\theta,(0\leq\theta\leq2\pi$ and $a,b$ are arbitrary constants$)$ represent a circle a parabola an ellipse a hyperbola
The equations $x=a\cos\theta+b\sin\theta$ and $y=a\sin\theta+b\cos\theta,(0\leq\theta\leq2\pi$ and $a,b$ are arbitrary constants$)$ representa circlea parabolaan ellipsea...
gatecse
310
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gatecse
asked
Sep 18, 2019
Geometry
isi2016-dcg
trigonometry
curves
non-gate
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0
votes
0
answers
40
ISI2016-DCG-41
A straight line touches the circle $x^{2}+y^{2}=2a^{2}$ and also the parabola $y^{2}=8ax.$ Then the equation of the straight line is $y=\pm x$ $y=\pm(x+a)$ $y=\pm(x+2a)$ $y=\pm(x-21)$
A straight line touches the circle $x^{2}+y^{2}=2a^{2}$ and also the parabola $y^{2}=8ax.$ Then the equation of the straight line is$y=\pm x$$y=\pm(x+a)$$y=\pm(x+2a)$$y=...
gatecse
201
views
gatecse
asked
Sep 18, 2019
Geometry
isi2016-dcg
lines
parabola
non-gate
+
–
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