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.

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

In the figure given below, points P, Q, R divides the line segment AB in four equal parts. The point Q divides PB in the ratio

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.