2025 TKSS PRELIMS P1 Q2

2025 TKSS PRELIMS P1 Q2

Secondary 4
4 marks
2025 Tanjong Katong Secondary School Prelims A Math Paper 1

In the diagram, the point \(P\) lies on the circle and \(TP\) is a tangent to the circle. \(TS\) is a straight line intersecting the circle at \(Q\) and \(S\). Given that point \(R\) lies on \(TS\) and \(TP = TR\), prove that the line \(PR\) bisects the angle \(SPQ\).[4]

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Answer:\(\angle SPR=\angle QPR\), hence \(PR\) bisects \(\angle SPQ\).

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