Questions in st-line

Select	Question
	The point on the line $x+y=4$which lie at a unit distance from the line $4x+3y=10$, are
	If the length of the perpendicular drawn from the origin to the line whose intercepts on the axes are a and b be p, then
	The length of perpendicular drawn from origin on the line joining $({x}',{y}')$ and $({x}'',{y}'')$, is
	If p and $p'$be the distances of origin from the lines $x\sec \alpha +y \text{cosec }\alpha =k$ and $x\cos \alpha -y\sin \alpha =k\cos 2\alpha $, then $4{{p}^{2}}+{{{p}'}^{2}}$=
	The perpendicular distance of the straight line $12x+5y=7$ from the origin is given by
	The length of perpendicular from (3, 1) on line $4x+3y+20=0$, is
	The distance between two parallel lines $3x+4y-8=0$and $3x+4y-3=0$, is given by
	The distance between $4x+3y=11$ and $8x+6y=15$, is
	The vertex of an equilateral triangle is (2,–1) and the equation of its base in $x+2y=1$. The length of its sides is
	The product of the perpendiculars drawn from the points $(\pm \sqrt{{{a}^{2}}-{{b}^{2}},}0)$ on the line$\frac{x}{a}\cos \theta +\frac{y}{b}\sin \theta =1$, is