Question

ABCD is a rectangle formed by the points A (−1, −1), B (−1, 6), C (3, 6) and D (3, −1). P, Q, R and S are mid-points of sides AB, BC, CD and DA respectively. Show that diagonals of the quadrilateral PQRS bisect each other.

In the following figure, P and Q are points of trisection of line segment AB : the value of AB/PB =

The coordinates of the end points of the line segment AB are A(−2, −2) and B(2, −4). P is the point on AB such that BP = 4/7 AB. Find the coordinates of point P.

The point P divides the line segment AB in the ratio 3 : 1 as shown below : The value of AB/PB is

Find the coordinates of the point C which lies on the line AB produced such that AC = 2BC, where coordinates of points A and B are (– 1, 7) and (4, – 3) respectively.