The Angle Between The Straight Lines Joining The Origin To The Points Of Intersection Of  and 3x – 2y = 1 Is

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 square of the distance between the origin and the point of intersection of the lines given by  

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

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

All chords of the curve  which subtend a right angle at the origin always pass through the point