Find the distance of the point (0,0) from the line `ax + by + c = 0.`

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

Find the distance of a point (6,0,0) from the plane 2x-3y+6z-2=0 .

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along the line 2x-2y+5=0

Find the distance of the point (1,2,3) from the co ordinate axes.

Find the shortest distance of the point (0, c) from the parabola y = x^2 where 0lecle5

Find the perpendicular distance of the point (1,0,0) from the line : (x-1)/2=(y+1)/-3=(z+10)/8 . Also find the co ordinates of the foot of the perpendicular.

The distance of the point (1, 2) from the line x+y+5 = 0 measured along with the line parallel to 3x-y=7 is equal to :

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y - 5 = 0 and 3x - 2y + 7 = 0 is always 10. Show that P must move on a line.

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y -5 = 0 and 3x -2y +7 = 0 is always 10. Show that P must move on a line.