The line segment joining the points (3,-1) and (-6,5) is trisected. Find the co-ordinates of points of trisection.

A point R with x-co-ordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the co-ordinate of the point R.

Find the ratio in which the y-axis divides the line segment joining the points (5,-6) and (- 1, - 4). Also find the point of intersection.

Find the ratio in which the line segment joining (2,-3) and (5, 6) is divided by xaxis, Also find the co-ordinates of point of intersection.

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

P is a point on the line segment joining the points (3, 2, -1) and (6, 2,-2). If x co-ordinates of P is 5, then its y co-ordinate is

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

Find the ratio in which (-6,a) divides the line segment joining the points (-3,1) and (-8,9). Also find the value of a.

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.

Find the ratio in which the line segment joining A (1,- 5) and B (- 4, 5) is divided by the x-axis. Also find the co ordinates of the point of division.

Find the ratio in which line joining (- 4, 7) and (3, 0) is divided by y-axis. Also find the co-ordinates of the point of intersection.