Distance between two parallel lines|Questions

Distance between two parallel planes

Distance OF point from the line || Distance between two parallel lines || Distance between two skew line || Illustration on cross product

ABCD is a trapezium whose area is a^(2)-b^(2). If AB=a,DC=b and AB//DC, find the distance between two parallel lines.

Normal form || Intercept form || Parallel plane || Distance OF a point from a plane || Distance between two parallel planes|| Equation OF bisector plane

Shortest distance between two parallel lines in vector + cartesian form

The distance between two parallel lines can be taken out by the formula

Perpendicular distance between point & line || Distance between two parallel line || Image OF a point with respect to various cases || Area OF parallelogram & Isosceles triangle

The distance between the two parallel lines is 1 unit. A point A is chosen to lie between the lines at a distance 'd' from one of them Triangle ABC is equilateral with B on one line and C on the other parallel line. The length of the side of the equilateral triangle is

The distance between two parallel lines is unity. A point P lies between the lines at a distance a from one of them. Find the length of a side of an equilateral triangle PQR vertex Q of which lies on one of the parallel lines and vertex R lies on the other line.

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.