The Line y = mx bisects The Angle Between The Lines  , If

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 

The equation x³ + ax²y + bxy² + y³ = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is  

The combined equation of the lines L₁ and L₂ is 2x² + 6xy + y² = 0 and that of the lines L₃ and L₄ is 4x² + 18xy + y² = 0. If the angle between L₁and L₄ be α, then the angle between L₂ and L₃ will be   

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 =

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