Find the points of trisection of the line segment determined by (7,5) and (16,-1).

4

(a)

Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4)

4

(a)

Find the coordinates of the points P,Q and R which divide the line segment joining A(5,4) and B(11,6) into four equal parts.

4

(a)

In what ratio does the point (-4,6) divide the line segment joining the point A(-6,10) and B(3,-8)?

4

(a)

Find the value of p for which the points (3,6), (7,p) and (-5,2) are collinear.

4

(a)

Find the value of k for which the points (-5,1), (1,k) and (4,-2) are collinear.

4

(a)

If A(-5,7), B(-4,-5),C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

4

(a)

Find the area of a square, if coordinates of its vertices are (1,2),(6,3), (5,8) and (0,7) taken in order.

4

(a)

Find the area of the triangle ABC with A(1,-4) and the mid-points of sides through A being (2,-1) and (0,-1).

4

(a)

Find the coordinates of the point Q on the x-axis which lies on the perpendicular bisector of the line segment joining the points A(-5,-2) and B(4,-2). Name the type of triangle formed by the  points Q, A and B.

4

(a)