A line perpendicular to the line-segment joining the points (1, 0) and (2, 3) divides it the ratio 1 : n. Find the equation of the line.

A line perpendicular to the line segment joining the points (1,0) and (2,3) divides it in the ratio 1 : n. Find the equation of the line.

The line segment joining the points (1,2) and (-2,1) is divided by the line 3x+4y=7 in the ratio:

The line segment joining the points (-3,-4) and (1,-2) is divided by y-axis in the ratio:

Find the equation of the line joining the points A(0,-1,3) and B(2,-3,-1).

Find the equation of the plane passing through the point A(1, 2, 1) and perpendicular to the line joining the points P(1, 4, 2) and Q(2, 3, 5). Also, find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1)

In which ratio is the line joining the points (1,3) and (2,7) is divided by the line 3x+y=9.

If the line 2x+y=k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2 then k-equals.

Find the equation of the plane passing through the points (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5), Also, find the perpendicular distance of the plane from the origin.

Show that the perpendicular drawn from the point (4, 1) on the line segment joining (6, 5) and (2,-1) divides it internally in the ratio 8 : 5.