The straight lines represented by the equation $9x^{2}-12xy+4y^{2}=0$ are

The joint equation of two lines passing through the origin,each making an angle of $30^{\circ}$ with the positive $Y$-axis,is

If an equation $hxy + gx + fy + c = 0$ represents a pair of lines,then

If $p_1$ and $p_2$ denote the lengths of perpendiculars from $(2,3)$ onto the lines given by $15 x^2+31 x y+14 y^2=0$,and if $p_1 > p_2$,then $p_1^2 + \frac{1}{74} - p_2^2 + \frac{1}{13}$ is equal to

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

If the equation $8x^2+8xy+2y^2+26x+13y+15=0$ represents a pair of parallel straight lines,then the distance between them is.........