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.

Find the ratio in which the segment joining the points (2, -5) and (5, 3) is divided by x-axis. Also, find coordinates of the point on x-axis.

Draw a line segment of length 7 cm and divide it in the ratio 5 : 3.

In what ratio does x-axis divide the line segment joining the points A(2, –3) and B(5, 6)?