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Recent questions tagged lines

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GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines:$\text{Line L1}: 2x - 3y = 5$\text{Line L2}: 3x + 2y = 8$\text{Line L3}: 4x - 6y = 5$\text{Line L4}: 6x ... $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$
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ISI2014-DCG-56
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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ISI2015-MMA-18
The set of complex numbers $z$ satisfying the equation $(3+7i)z+(10-2i)\overline{z}+100=0$ represents, in the complex plane,a straight linea pair of intersecting straight linesa pointa pair of distinct parallel straight lines
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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$(h,k) = (0,0)$ ... $(h,k)$ exists
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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$3$
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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$18$
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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$18$
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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)$
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ISI2017-DCG-20
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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ISI2017-DCG-21
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)$
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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 ... $, is$3x-3y=2$2x+3=0$3x+2=0$3y-2=0$
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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 ... of the line segment $AB$ is$6$ units$7$ units$8$ units$9$ units
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