Straight Line

The slope of the straight line which does not intersect $x$-axis is equal to

The values of $k$ for which the line $(k-3)x-\left( 4-k^{2} \right)y+k^{2}-7k+6=0$ is parallel to the $x$-axis, is

Find the equation of a line with slope -1 and cutting off an intercept of 4 units on negative direction of $y$-axis.

The distance of the line $2x+y=6$ from the origin is

The distance between the lines $4x+3y=11$ and $8x+6y=15$ (in units) is

At what point the origin be shifted so that the point $(3,2)$ assumes the position at (-3,4) ?

Find the equation of the line having slope $\dfrac{1}{2}$ and containing the point (3, -2).

Find the distance between the parallel lines $3x+4y+3=0$ and $3x+4y+15=0$.

$p$ is the length of perpendicular from the origin to the line whose intercepts on the axes are $a$ and $b$ respectively, then $\dfrac{1}{a^{2}}+\dfrac{1}{b^{2}}$ equals

If line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points $(8,12)$ and $(x,24)$, then the value of $x$ is

If the co-ordinates $A(5,14)$ change to $B(8,3)$ by shift of origin, find the co-ordinates of the point, where the origin is shifted.

A point equidistant from the lines $x+\sqrt{3}y+4=0$, $\sqrt{13}x+6y+14=0$ and $7x+24y-50=0$ is

The values of $x$ for which the points $(x,-1),(2,1)$ and $(4,5)$ are collinear is

The equation $x=t^{3}+9$ & $y=\dfrac{3t^{3}}{4}+6$ represent a straight line where t is a parameter. Then y intercept of line is $-\dfrac{k}{4}$ where k equals....

If the middle point of the sides of a triangle $ABC$ are $(0,0);(1,2)$ and $(-3,4)$, then the area of triangle is