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<p>In the diagram, $TQ$ and $PR$ are the diameters of the circle with centre $O$. <br>The tangent at $T$ meets $RP$ produced at $U$. Prove that</p>
<ol class="abc-list"><li data-list-item-id="item-1"><div class="list-item-paragraph">$TR = PQ$,<span class="inline-marks">[3]</span></div></li><li data-list-item-id="item-2"><div class="list-item-paragraph">$QP \times UT = TP \times UR$,<span class="inline-marks">[3]</span></div></li></ol>

In the diagram, $TQ$ and $PR$ are the diameters of the circle with centre $O$. 
The tangent at $T$ meets $RP$ produced at $U$. Prove that

2024 GESS PRELIMS P1 Q8

2024 GESS PRELIMS P1 Q8