Questions in st-line

Select	Question
	The length of perpendicular from the point $(a\cos \alpha ,a\sin \alpha )$ upon the straight line $y=x\tan \alpha +c,$ $c>0$ is
	The distance of point (–2, 3) from the line $x-y=5$is
	Distance between the two parallel lines $y=2x+7$and $y=2x+5$ is
	In what ratio the line $y-x+2=0$divides the line joining the points (3, –1) and (8, 9)
	The perpendicular distance of the straight line $12x+5y=7$from the origin is equal to
	A point equidistant from the lines $4x+3y+10=0$, $5x-12y+26=0$ and $7x+24y-50=0$ is
	The equation of the base of an equilateral triangle is $x+y=2$ and the vertex is (2, –1). The length of the side of the triangle is
	$(\sin \theta ,\cos \theta )$ and $(3,\,2)$ lies on the same side of the line $x+y=1$, then $\theta $ lies between
	Which pair of points lie on the same side of $3x-8y-7=0$
	Let $\alpha $ be the distance between the lines $-x+y=2$ and $x-y=2$, and $\beta $ be the distance between the lines $4x-3y=5$ and $6y-8x=1$, then