Find the point of intersection of the lines `2x-3y+8=0` and `4x+5y=6`

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

Find the length of the perpendicular draw from the point (4,7) upon the straight line passing through the origin and the point of intersection of the lines 2x – 3y+ 14 = 0 and 5x + 4y = 7

Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0 . If this point lies on the line (2k - 1) x - 2y = 4 , find the value of k. The above question can also be stated as : If the lines 4x + 3y = 1, 3x – y + 9 = 0 and (2k - 1) x - 2y = 4 are concurrent (pass through the same point), find the value of k.

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

Find the equation of the line through the point of intersection of, the lines x-3y + 1 = 0 and 2x + 5y-9-0 and whose distance from the origin is sqrt5

Find the equation of the line through the point of intersection of, the lines x-3y + 1 = 0 and 2x + 5y-9-0 and whose distance from the origin is sqrt5

A circle whose centre is the point of intersection of the lines 2x-3y+4=0\ a n d\ 3x+4y-5=0 passes through the origin. Find its equation.

Find the equation of a straight line through the point of intersection of the lines 4x-3y=0\ a n d\ 2x-5y+3=0 and parallel to 4x+5y+6=0.

Find the equation of the straight line passing through the point (2, -6) and the point of intersection of the lines 5x-2y+14=0 and 2y=8-7x .