If a point $(a, a)$ lies between the lines $|x+y|=4$,then

The distance between the lines $5x + 3y - 7 = 0$ and $15x + 9y + 14 = 0$ is

What is the position of the point $(8, -9)$ with respect to the lines $2x + 3y - 4 = 0$ and $6x + 9y + 8 = 0$?

The coordinates of a point on the line $x+y+1=0,$ which is at a distance of $\frac{1}{5}$ unit from the line $3x+4y+2=0,$ are

If $P_1$ and $P_2$ are the lengths of the perpendiculars from the origin to the lines $x \sec \theta + y \csc \theta = a$ and $x \cos \theta - y \sin \theta = a \cos 2\theta$ respectively,then what is the value of $4P_1^2 + P_2^2$?

The perpendicular distance of the straight line $12x + 5y = 7$ from the origin is equal to