Prove that the points A(2, 3), B(-2, 2), C(-1, -2) and D(3, -1) are the vertices of a square ABCD.

Name the type of quadrilateral formed by the following points and give reasons for your answer :

(-1, -2), (1, 0), (-1, 2), (-3, 0).

Find the coordinates of the circumcentre of the triangle whose vertices are (8, 6), (8, -2) and (2, -2). Also, find its circumradius.

Point (-3, 5) lies in the

1. first quadrant

2. second quadrant

3. third quadrant

4. fourth quadrant