How to do 6(d) 3 HK VOLTE ull a16% D 23:02Homework 13...Homework (13)5.In the figure, E divides line segments AB andCD into two parts in the ratio of 2:3А(3, 2)respectively.(a) Find the coordinates of E.(b) Find the coordinates of D.C(5, -4)(c) Are AC and DB parallel to each other?B(-2, -8)Explain briefly for your answer.6.In the figure, Cand D are mid points of OA and AB respectively. OD andBC intersect at E. OE : ED =r:1 and BE : EC = m: 1.(a) Find the coordinates of C and D.(b) Prove that the coordinates of EA (2a, 2b)4rarbare1+r1+r(c) Prove that the coordinates of Eв (ба, 0)mb-).1+ m(6+m)aare (OE : ED =r: 1;BE: EC = m: 11+m(d) Hence find the values of r and m.

Note: Since you have asked to solve only 6 (d), we will solve that only.

In the figure, C and D are mid points of OA and AB respectively. OD and BC intersect at E. OE : ED =r :1 and BE : EC =m :1. (a) Find the coordinates of C and D. (b) Prove that the coordinates of E A (2a, 26) 4ra rb `1+r' 1+r' are (c) Prove that the coordinates of E в (ба, 0) (6+ m)а тb are OE: ED =r: 1; 1+m 1+m BE: EC = m: 1 (d) Hence find the values of r and m.

In the figure, C and D are mid points of OA and AB respectively. OD and BC intersect at E. OE : ED =r :1 and BE : EC =m :1. (a) Find the coordinates of C and D. (b) Prove that the coordinates of E A (2a, 26) 4ra rb `1+r' 1+r' are (c) Prove that the coordinates of E в (ба, 0) (6+ m)а тb are OE: ED =r: 1; 1+m 1+m BE: EC = m: 1 (d) Hence find the values of r and m.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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