The line through `(4, 3) and (-6, 0)` intersects the line `5x+y=0`. Find the angles of intersection.

If the line through the points (h, 7) and (2, 3) intersects the line 3x-4y-5=0 at right angles, then the value of h is

The line through the points (h,3) and (4,1) intersects the line 7x-9y-19=0 at right angle.Find the value of h.

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.

Find the equation of the line passing through the point (4,-14,4) and intersecting the line of intersection of the planes : planes :3x+2y-z=5 and x-2y-27=-1 at right angles.

Find the ratio in which the line x-3y=0 divides the line formed by joining (-2,-5) and (6,3) .Find the coordinates of the point of intersection

Find the equation of the line through the point of intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and perpendicular to the line 2x-3y=10

Find the equations of the lines through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 whose distance from the point (3,2) is (7)/(5)

Find the equation of the line through the intersection of the lines 3x+y-9=0 and 4x+3y-7=0 and which is perpendicular to the line 5x-4y+1=0.

The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and

Find the equation of a line passing through the intersection of the lines x+3y=4 and 2x-y=1 and (0,0) lies on this line.