Analysis and Approaches for IBDP Maths Ebook 2 | Page 96

Your Practice Set – Analysis and Approaches for IBDP Mathematics
4. In the figure, QHP and OKQ are straight lines such that QH � HP and OK � KQ . U ,
V and W are three distinct points inside the triangle OPQ . OP
� � p , OQ � � q ,
QU
� �
� OP , PU � OQ and OV � 2VH .
� �
(a) Show that p�q � OU� p � OU�
q .
(b) Express OV � in terms of p and q .
It is also given that WK
� OQ .
[4]
[5]
(c) Show that q �(2WV� VU) � 0 .
�
�
[8]
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