" The points "(0,(8)/(3)),(1,3)" and "(82,30)

The points (0,0),(-2,0),(3,0)

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

If the points A(3,0,p),B(-1,q,3) and C(-3,3,0) are collinear, then find (1) the ratio in which the points C divides the line segment AB (2) the value of p and q.

Find the circumcentre of the triangle formed by the points (-3,1) , (1,3) and (3,0) .

If the points A(6,1),B(8,2),C(9,4) and D(p,3 ) are the vertices of a parallelogram,taken in order,find the value of p.

Show that the following points are collinear. (0,8/3) ,(1,3),(82,30)

Show that the following points are collinear. (0,8/3) ,(1,3),(82,30)