Question
The diagram shows triangle AOB.The
point P lies on OA and the point Q lies on
AB.The straight line BP intersects the straight line
OQ at the point S.
 
  
It
is given that OA:OP = 3:1 ; AB:AQ = 4:1 ; OA = 6a , OB = 4b
-
Express in terms
of a and b:
(i ) BP
(ii) OQ
b. Using
OS = mOQ and BS = nBP, where m and n are constants,
find the value
of m and n
c. Given that
│a │= 4 units, │ b │= 6 units and <AOB = 900,
find
│AB │
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