Find the ratio in which the equation `x^(2)+y^(2)+z^(2)=350` divides the line joining points (3,-1,2) and (9,-3,6)

Find the ratio in which the sphere x^(2)+y^(2)+z^(2)=504 divides the line joining the points (12,-4,8) and (27,-9,18).

Determine the ratio in which the line y - x + 2 = 0 divides the line joining the points (3,-1) and (8,9) ?

Find the ratio,in which the plane x+y+z=(1)/(5) divides the line joining the points (3,1,4) and (4,2,5)

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.

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

The ratio in which the plane x-2y+3z=17 divides the line joining the points (2,-4,7) and (3,-5,8) is

Determine the ratio in which the line y - x + 2 = 0 divides the line segment joining the points (3, -1) and (8, 9).

Find the ratio in which the point (2, y) divides the line segment joining the points A(-2,2) and B(3,7). Also find the value of y