2024 GESS PRELIMS P1 Q8

2024 GESS PRELIMS P1 Q8

6 marks

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

  1. \(TR = PQ\),[3]
  2. \(QP \times UT = TP \times UR\),[3]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(i) \(TR=QP\). (ii) \(QP\cdot UT=TP\cdot UR\).

Need help? Join our A-Maths tuition classes.

Learn more