= coordinates of the mid-point of BD = p = p so, = p p = EXERCISE . . Find the coordinates of the point which divides the join of (– , ) and ( , – ) in the ratio : . .
Find the coordinates of the points of trisection of the line segment joining ( , – ) and (– , – ). . To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each. flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig.
. . Niharika runs th the distance AD on the 2nd line and posts a green flag. Preet runs th the distance AD on the eighth line and posts a red flag.
What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag? . Find the ratio in which the line segment joining the points (– , ) and ( , – ) is divided by (– , ).
. Find the ratio in which the line segment joining A( , – ) and B(– , ) is divided by the x -axis. Also find the coordinates of the point of division. .
If ( , ), ( , y ), ( x , ) and ( , ) are the vertices of a parallelogram taken in order, find x and y . . Find the coordinates of a point A, where AB is the diameter of a circle whose centre is ( , – ) and B is ( , ). .
If A and B are (– , – ) and ( , – ), respectively, find the coordinates of P such that AP = AB and P lies on the line segment AB. . Find the coordinates of the points which divide the line segment joining A(– , ) and B( , ) into four