If $m_1$ and $m_2$ $(m_1 > m_2)$ are the slopes of the lines represented by $5x^2 - 8xy + 3y^2 = 0$,then $m_1 : m_2$ equals

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

If $m_{1}$ and $m_{2}$ are slopes of the lines represented by $(\sec^{2} \theta - \sin^{2} \theta) x^{2} - 2 \tan \theta xy + \sin^{2} \theta y^{2} = 0$,then $|m_{1} - m_{2}| = $

Let each of the equations $x^{2}+2xy+ay^{2}=0$ and $ax^{2}+2xy+y^{2}=0$ represent two straight lines passing through the origin. If they have a common line, then the other two lines are given by:

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

If the lines represented by the equation $2x^2 - pxy + 2y^2 = 0$ are real,then the value of '$p$' lies in the interval