0 votes
249 views
in Mathematics Form 3 by

In the triangle given below OP= p and OQ = q.R is a point on PQ  such that PR:RQ = 1 : 3 and that 5OS= 2OQ.PS and OR intersect at T.
MathF4pp2Q19

  1. Express in terms of p and q.
    • OS
    • PQ
    • OR
  2. Given that OT=hOR and PT = kPS, determine the values of h and k. 

1 Answer

0 votes
by
  1.    
    • OS    2/5q
    • PQ    q-p
    • OR    3/4p+1/4q
  2.    
    OT=h (3/4p + 1/4q)
    OT=p +k (2/5 q – p)
    3/4hp + 1/4hq = 1/4hq=p+2/5kq –kp
    3/4h = 1-k h/4=2/5k
    3/4h (8k/5) (1-k)
    6k/5 = 5-5k
    11k=5
    K=5/11
    11=8/11
    PT:T=5/11:6/11
    5:6
Welcome to EasyElimu Questions and Answers, where you can ask questions and receive answers from other members of the community.

5.4k questions

5.8k answers

8 comments

590 users

...