Funatic Maths

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- Paper 2

Question 9.2

9.29.2 Chord QNQN bisects MN^PM\hat NP and intersects chord MPMP at SS. The tangent at PP meets MNMN produced at RR such that QN∥PRQN\parallel PR. Let P^1=x\hat P_1=x.
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  9.2.1\:\: 9.2.1 Determine the following angles in terms of xx. Give reasons
(a)\quad (a) N^2\hat N_2 (2)(2)
(b)\quad (b) Q^2\hat Q_2 (2)(2)
  9.2.2\:\: 9.2.2 Prove, giving reasons, that MNNR=MSSQ\frac{\displaystyle MN}{\displaystyle NR}=\frac{\displaystyle MS}{\displaystyle SQ} (6)(6)
[10]\textbf{[10]}