4024/11 Oct/Nov 2020, Question 17: Combining Circle Theorems
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Circle with centre O and diameter AC; tangents from T touch at B and C; angle BCT is 62°. Find x and y from the diagram.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
Find the angle x at C between CO and CB.
- 1OC ⊥ TC (radius ⊥ tangent), so angle OCT = 90°
- 2x = 90 − 62 = 28
Answer28
Part (b) · 2 marks
Find the angle y at T between the two tangents.
- 1TB = TC (tangents from a point), so angle TBC = 62°
- 2y = 180 − 62 − 62 = 56
Answer56
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Also searched as: 4024/11/O/N/20 · 4024_w20_qp_11 · 4024 w20 11 · question 17.
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