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(1,1) and B(2,-3) are two points and D is a point on AB produced such that AD=3AB Find the co-ordinates of D.

A(1, 1) and B(2, -3) are two points and P is a point on AB produced such that AP=3AB . Find the coordinates of P.

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

Find the coordinates of points A,B,C,D in Figure.

The points A (x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3)) are the vertices of triangle ABC. (i) The median from A Meets Bc at D. Find the coordinates of the points D. (ii) Find the coordinates of the point P on Ad such that AP : PD = 2 : 1 . (iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that BQ : QE=2 :1 and CR : RF =2 : 1 . What are the coordinates of the centroid of the triangle ABC?

Point C lies on a segment joining the points A(1,1) and B(2,-3) and 3AC = BC . Find the coordinates of point C ,

Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of Delta A B C . (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1. (iv) What do you observe? (v) If A(x_(1),y_(1)), B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of ∆ ABC, find the coordinates of the centroid of the triangle.

Two fixed points A and B are taken on the coordinates axes such that O A=a and O B=b . Two variable points A ' and B ' are taken on the same axes such that O A^(prime)+O B^(prime)=O A+O Bdot Find the locus of the point of intersection of A B^(prime) and A^(prime)Bdot

Let A(2,1-3) and B(5,-8,3) be two given points. Find the coordinats of the points of trisection of the line segment AB.