Distance Between A line and a points

Find the distance between the line and the point in each of the following : (i) 3x+4y-5=0 , (-3,4) (ii) 12x-5y-7=0 , (3,-1) (iii) 3x-4y-26=0 , (3,-5) (iv) x+y=0 , (0,0) (v)y=4 , (2,3) .

Find the distance between origin and the point (a, -b).

Distance between lines, point and plane

Distance between origin to the point (5,12) is

If the distance between the origin O and point P is 5 units and the direction ratios of line segment are (1,-2,3) then the coordinates of P are

Distance between two points

The shortest distance between the line passing through the point (2,-1,1) and parallel to the vector (-1,1,2) and the line passing through (0,3,1) and parallel to vector (2,4,-1) is

Theorem in Plane|| Theorem in Space|| Distance Between Point & a Line|| Distance Between Parallel Lines|| Shortest Distance Between Skew Lines

The coordinate of point A on the number line is -(8)/(5). If the distance If the distance between the points A and B is (17)/(5) what are the coordinates of the point B?