Conditions for parallelism and perpendicularity of lines

Perpendicularity of two lines

Condition of parallel and perpendicular lines

Line Perpendicular to a line

Condition of line to be parallel perpendicular and intersecting

Foot of perpendicular on a line

Find the slope of the line parallel and perpendicular to the line passing through (6,3) & (-4,5)

Condition for the parallelism of the lines

Joint equation of the straight line passing through the origin, one of which is parallel and other perpendicular to the line 6x-4y+3=0 is

Joint equation of two lines, through the origin, such that one of them is parallel and the other perpendicular to line 2x+3y+c=0 is

A fixed point is at a perpendicular distance a from a fixed straight line and a point moves so that its distance from the fixed point is always equal to its distance from the fixed line.Find the equation to its locus,the axes of coordinates being drawn through the fixed point and being parallel and perpendicular to the given line.