Show that the three straight lines ` 2x-3y + 5 = 0 , 3x + 4y - 7 = 0 and 9x- 5y + 8 = 0` meet in a point

Prove that lines 3x + y + 4 = 0, 3x + 4y = 20 and 24x - 7y + 5 = 0 are sides of an equilateral triangle.

Find the value of p so that the three lines 3x + y-2=0, px+2y-3 =0 and 2x-y -3 =0 may intersect at one point.

If the lines 2x+ y-3 = 0, 5x+ky - 3=0 and 3x -y -2 =0 are concurrent, find the value of k.

Find perpendicular distance between the lines 3x - 4y + 7 = 0 and 6x -8y + 1 = 0.

A point equidistant from the lines 4x + 3y + 10 = 0, 5 x - 12y + 26 =0 and 7 x + 24y - 50 = 0 is,

A line is such that its segment between the lines 5x-y + 4=0 and 3x + 4y - 4 =0 is bisected at the point (1,5) . Obtain its equation.

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .