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. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. 7.12. Niharika runs 1/5 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th 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?

Question

KnowledgeBoat · Accepted Answer

Given, 100 flower pots have been placed at a distance of 1 m from each other along AD. AD = 100 × 1 = 100 m. It can be observed that Niharika posted the green flag at th of the distance AD i.e., m from the starting point of 2nd line. Therefore, the coordinates of this point G is (2, 25). Similarly, Preet posted red flag at th of the distance AD i.e., m from the starting point of 8th line. Therefore, the coordinates of this point R are (8, 20). By formula, Distance between two points = Substituting values we get : The point at which Rashmi should post her blue flag is the mid-point of the line joining these points. Let this point be A (x, y). By formula, Mid-point = Substituting values we get : From figure, The x-coordinate represets the no. of line and y-coordinate represents the vertical distance. Hence, Rashmi should post her blue flag at a distance of 22.5m on 5th line.

Mathematics

Coordinate Geometry

Related Questions

Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.

Find the coordinates of the points of trisection of the line segment joining (4, –1) and (–2, –3).

Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).

Find the ratio in which the line segment joining A(1, -5) and B(-4, 5) is divided by the x-axis. Also find the coordinates of the point of division.