In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak(D) planted their flower plants of Rose, Sunflower, Champa and Jasmine respectively - Maths - Coordinate Geometry

Question

In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak(D)
planted their flower plants
of Rose, Sunflower, Champa and Jasmine respectively as shown in the
following figure A fifth
student Eshan wanted to plant her flower in this area The teacher
instructed Eshan to plant
his flower plant at a point E such that CE: EB = 3 : 2
Answer the following questions:
i Find the coordinates of point E where Eshan has to plant his
flower plant

ii Find the area of ECD

iii Find the distance between the plants of Ajay and Deepak

iv The distance between A and B is:

v The distance between C and D is:

Atul Shaw · Accepted Answer

Dear student,(i) Given, CE:EB=3:2It means E divides CB line in 3:2 ratioLet co-ordinate of E(x,y)Using section formula: mx1+nx2m+n,my1+ny2m+nm=3;n=2x=3×8+2×33+2; y=3×7+2×23+2   =305=6        ; y=255=5Coordinates of E(6,5)For remaining queries we request you to post them in separate threads to have rapid assistance from our experts
Regards