4MA1/2HR Jun 2023, Question 18: Chord Properties
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Points A, B, C, D lie on a circle with straight lines ABP and DCP; given AB = 16 cm, BP = 14 cm, CP = 12 cm, find the length of DC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Intersecting chords outside the circle: PA × PB = PD × PC.
- 2PA = 16 + 14 = 30, so 30 × 14 = 420.
- 3PD × 12 = 420, so PD = 35.
- 4DC = PD − PC = 35 − 12 = 23
Answer23
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