If one of the lines represented by $ax^2+2hxy+by^2=0$ bisects the angle between the positive coordinate axes,then

If the slopes of the lines given by the equation $ax^{2} + 2hxy + by^{2} = 0$ are in the ratio $5:3$,then the ratio $h^{2}:ab$ is:

The square of the difference of the slopes of the lines represented by the equation $x^2(\sec^2 \theta - \sin^2 \theta) - 2xy \tan \theta + y^2 \sin^2 \theta = 0$ is:

If each line of a pair of lines passing through the origin is at a perpendicular distance of $4$ units from the point $(3, 4)$,then the equation of the pair of lines is

The quadrilateral formed by the pairs of lines $xy+x+y+1=0$ and $xy+3x+3y+9=0$ is

For what value of $p$ does the equation $y^2 + xy + px^2 - x - 2y = 0$ represent two straight lines?