$A$ second degree homogeneous equation in $x$ and $y$ always represents:

The values of $h$ for which the equation $3x^2 + 2hxy - 3y^2 - 40x + 30y - 75 = 0$ represents a pair of straight lines are:

The value of $\lambda$, for which the equation $x^2 - y^2 - x - \lambda y - 2 = 0$ represents a pair of straight lines, is

If $6x^2 + 11xy - 10y^2 + x + 31y + k = 0$ represents a pair of straight lines,then $k = $

The equation of a pair of lines is given by a second-degree homogeneous equation. If one of them is perpendicular to the line $x+2y+7=0$ and the other is parallel to the line $3x+4y+5=0$,then the equation of that pair of lines is:

What type of triangle is formed by the line $x = a$ and the pair of lines $x^2 - 3y^2 = 0$?