Prove that the middle point of the line segment joining (2,5) and (4,3) lies on the straight line 2x - 3y + 6 = 0.

Find the length of the projection of the line segment joining (3,4,5) and (4,6,3) on the straight line : (x-4)/2=(y-5)/3=(z-6)/6

The mid point of the line segment joining (2x,4) and (-2,3y) is (1,2x+1), then value of x and y are:

Find the ratio in which the line segment joining : (2,1,5) and (3,4,3) is divided by the plane x+y-z=1/2

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 Internally

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 externally.

Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1,-4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally.

Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-5) is divided by the xy-plane.

The length of projection of the line segment joining the points (1,0,-1) and (-1,2,2) on the plane x+3y-5z=6 is equal to

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 coordinates of the point which divides the line segment joining the points A(5,-2) and B(9,6) in the ratio 3:1