Given that `A(1,1)` and `B(2,-3)` are two points and `D` is a point on `A B` produced such that `A D=3A Bdot` Find the coordinates of `Ddot`

A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of the perpendicular from A on BC. Find the coordinates of D.

(1, -2) and (-2, 3) are the points A and B of the DeltaABC . If the centroid of the triangle be at the origin, then find the coordinates of C.

Let A ( 2 , - 4 , - 3) and B ( - 4 , 2 , 3) be two given points if the points C and D trisect the line-segment overline(AB) , then find the coordinates of C and D .

A(2,5) and B(-3,-4) are two fixed points , the point P divides the line -segment overline(AB) internally in the ratio k:1 . Find the coordinates of P . Hence find the equation of the line joining A and B.

Find the equation of the line passing through the points A(0,6,-9) and B(-3,-6,3). If D is the foot of the perpendicular drawn a point C(7,4,-1) on the line AB, then find the coordinates of the point D and the equation of line CD.

P and Q are such two points on the line segment obtained by joining the points A (-2, 5) and B (3, 1) that AP = PQ = QB. Then find the coordinates of the mid-point of PQ.

The coordinates of the points A,B,C are (-2,1),(-1,-3) and (3,-2) respectively . Show that , AB =BC and angleABC is a right angle If D is the fourth vertex of the square ABCD , find the coordinates of D and also find the point of intersection of diagonals of ABCD.

A (4,6) , B (-1,3) and C(2,-2) are three given points . Find the following : coordinates of the point equidistant from A,B,C and the distance of this point from A,B,C.

The coordinates of two point opposite vertices oc a square are (3,4) and (1,-1), find the coordinates of the other two vertices.

A(1,3,0),B(2,2,1) and C(5,-1,4) are the vertices of the triangle ABC, if the bisector of /_BAC meets its side bar(BC) at D, then find the coordinates of D.