The Square Of The Distance Between The Origin And The Point Of Intersection Of The Lines Given By              

The lines represented by  and the lines represented by  are equally inclined then

The equation  represents three straight lines passing through the origin such that

If the equation  represents two pairs of perpendicular lines, then

The equation  represents three straight lines passing through the origin such that

If one of the lines represented by the equation   is a bisector of the angle between the linesxy = 0, then λ =

If θ is the angle between the straight lines given by the equation , then cosec² θ =

The line y = mx bisects the angle between the lines

 , if

If two pairs of straight lines having equations   have one line common then a =

The point of intersection of the The Pair of Straight Lines given by 

The centroid of the triangle whose three sides are given by the combined equation