If the equation $kxy + 10x + 8y + 16 = 0$ represents a pair of lines,then

The joint equation of the pair of lines passing through the origin with slopes $(1+\sqrt{2})$ and $\frac{1}{(1+\sqrt{2})}$ is

The combined equation of a possible pair of adjacent sides of a square with area $16 \text{ square units}$ whose centre is the point of intersection of the lines $x+2y-3=0$ and $2x-y-1=0$ is

If the equation $ax^{2} + by^{2} + cx + cy = 0$,$c \neq 0$ represents a pair of lines,then

If the slope of one of the lines represented by $ax^2+2hxy+by^2=0$ is the square of the other,then $\frac{a+b}{h}+\frac{8h^2}{ab}$ is equal to:

$PQR$ is a right-angled isosceles triangle with the right angle at $P(2, 1)$. If the equation of the line $QR$ is $2x + y = 3$,then the equation representing the pair of lines $PQ$ and $PR$ is: