A ladder of length l rest against the wall of the room, if the ladder begins to slide on floor, find the locus of the point of which divides the ladder in ratio (2 : 1)

Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.

A straight line segment AB of length 'a' moves with its ends on the axes. Then the locus of the point P which divides the line in the ratio 1:2 is

The end’ points of a rod having length l are moving a long with two straight line which are perpendicular toeach othcr. Find the equation -of the locus of the point which divides the rod are in ratio 2:1.

A is a point on the circle x^(2)+y^(2)=36 . Find the locus of the point P which divides the ordinate bar (AN) internally in the ratio 2:1 .

Find the locus of the point which is equidistant from the points A(0,2,3) & B(2,-2,1)

The ends of a rod of length l move on two mutually perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1:2 .

Find the co-ordinates of the point which divided the join of P(5,-2) and Q(9,6). internally in ratio 3:1

Find the co-ordinates of the point which divided the join of P(5,-2) and Q(9,6). externally in ratio 3:1

A ladder 20 ft long leans against a vertical wall. If the top end slides downward at the rate of 2 ft/s, find the rate at which the lower end moves on a horizontal floor when it is 12 ft from the wll. Find also the rate at which the slope of the ladder changes.

A ladder of length 10m just touches a window 8 m high from the ground on a wall. Find the distance between the foot of the ladder from the wall.