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Recent questions tagged lines
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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 $4$ $3$ $4$ $3$
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Sep 23, 2019
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Numerical Ability
by
Arjun
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isi2014dcg
numericalability
geometry
rectangles
lines
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2
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, 2019
in
Geometry
by
Arjun
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18
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isi2015mma
lines
nongate
+1
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1
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3
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 $5$ $7$ $1$ $3$
asked
Sep 23, 2019
in
Geometry
by
Arjun
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434k
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21
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isi2015mma
lines
nongate
0
votes
1
answer
4
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, 2019
in
Numerical Ability
by
gatecse
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17.6k
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19
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isi2015dcg
numericalability
geometry
lines
circle
0
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0
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5
ISI2016DCG38
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, 2019
in
Geometry
by
gatecse
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17.6k
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16
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isi2016dcg
lines
nongate
0
votes
0
answers
6
ISI2016DCG41
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, 2019
in
Geometry
by
gatecse
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17.6k
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10
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isi2016dcg
lines
parabola
nongate
0
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1
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7
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 $2x+3y=12$ $3x+2y=0$ $2x+3y=0$ $3x+2y=12$
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Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.6k
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15
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isi2017dcg
numericalability
geometry
lines
0
votes
1
answer
8
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, 2019
in
Numerical Ability
by
gatecse
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17.6k
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17
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isi2017dcg
numericalability
geometry
lines
arithmeticseries
0
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0
answers
9
ISI2018DCG23
Let $A$ be the point of intersection of the lines $3xy=1$ 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 $3xy=1$, is $3x3y=2$ $2x+3=0$ $3x+2=0$ $3y2=0$
asked
Sep 18, 2019
in
Geometry
by
gatecse
Boss
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17.6k
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13
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isi2018dcg
lines
triangles
nongate
0
votes
1
answer
10
ISI2018DCG25
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
asked
Sep 18, 2019
in
Geometry
by
gatecse
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17.6k
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33
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isi2018dcg
circle
lines
nongate
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