Find the ratio in which the straight line `2x+3y-5=0` divides the line joining the points (0,0) and (-2,1).

Find the ratio in which the straight line 5x-6y-21=0 divides the line joining the points (4,-1) and (2,1)

The ratio in which the line 3x-4y+5=0 divides the line segment joining the points (2, -4), (-3, 1) is

Find the ratio in which the point (1/2,6) divides the line segment joining the points (3,5) and (-7,9).

The ratio in which the plane x+2y+3z-5=0 divides the line segment joining the points (1,2,3),(-2,3,4) is

The ratio in which the plane 2x+3y-2z+7=0 divides the line segment joining the points (-1,2,3),(2,3,5) is

Find the ratio in which the following straight lines divide the line segments joining the given points. State whether the points lie on the same side or on either side of the straight line 2x+3y=5,(0,0) and (-2,1)