Analysis and Approaches for IBDP Maths Ebook 2 | Page 92

Your Practice Set – Analysis and Approaches for IBDP Mathematics
28
Paper 1 Section B – Geometric Problems
Example
In the figure, OTQ, STR and PRQ are straight lines. OP
� � p , OQ � � q , ST :TR � 3:5
� � �
and QR : RP � 3:7 . It is given that OT � � q and OS � � PQ , where � , � � .
(a) Express OR � in terms of p and q .
(b) Express TR � in terms of � , p and q .
(c) Express ST � in terms of � , � , p and q .
(d)
Hence, show that
3
� � and
8
9
� � .
50
[3]
[3]
[3]
[7]
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