Find the ratio in which the line segment joining the points P(5, -7) and Q (-1, 6) is divided by the point R(-7, 19). Is the division internal or external?

Find the ratio in which the line segment joining the points (2,-3) and (4,6) is divided by the x-axis.

Find the ratio in which the line segment joining the points (-3,10) and (6,-8) is divided by (-1,6)

Find the ratio in which the line-segment joining the points P(3, 5) and Q(-2, 7) is divided by the X-axis and hence find the coordinatesof the point of intersection.

The lion segment joining the points P(2, 1) and Q (-4, a) is trisected at the point ( 0, 7/8 ). Find the value of a.

In what ratio dose the X-axis divide the line segment joining the points (2, -3) and (4, 6)?

Find the direction ratios of the line joining the points P (1, 3, -2) and Q ( -2 , 4, 0).

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 coordinates of the point of division.

Find the equation of the circle described on the line segment joining the points (5, 3) and (3, 1) as a diameter.

if (x,3) is the mid-point of the line segment joining the points A(6,4) and B(-4,2),find the value of x

(i) Find the coordinates of the points which divide the line segment joining the points (5, 4, 2) and (-1, -2, 4) in the ratio 3 : 2 (a) internally