2025 MSHS PRELIMS P2 Q4
2025 MSHS PRELIMS P2 Q4
Secondary 4
7 marks
In the diagram, \(AB\) is the diameter of the circle with centre \(O\). \(DE\) and \(BF\) are tangents to the circle at \(C\) and \(B\) respectively. \(DCE\) and \(BEF\) are straight lines.
- Prove that triangle \(ABC\) and triangle \(AFB\) are similar.[3]
- Show that \(EC=EF\).[4]
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.
Create a free account to practise similar questions.
Answer:\(\text{(a)}\hspace{0.5em}\triangle ABC\sim\triangle AFB\text{ [AA similarity]}\quad\text{(b)}\hspace{0.5em}EC=EF\).
Need help? Join our A-Maths tuition classes.
Learn more