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1 markGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2009 · Paper 2 · Question 11(a)(i)

A diagram, not drawn to scale, shows a circle with centre O. Line DCE is tangent to the circle. Angle ACE = 48° and angle OCB = 26°.

Calculate angle ABC.

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Other parts of this question

  1. 11(a)(ii)Calculate angle AOC.[1 mark]
  2. 11(a)(iii)Calculate angle BCD.[1 mark]
  3. 11(a)(iv)Calculate angle BAC.[1 mark]
  4. 11(a)(v)Calculate angle OAC.[1 mark]
  5. 11(a)(vi)Calculate angle OAB.[1 mark]
  6. 11(b)(i)Copy the diagram above. On your diagram label the angles that show the bearings of 025° and 080°.[2 marks]
  7. 11(b)(ii)a)Calculate angle OPQ.[7 marks]
  8. 11(b)(ii)b)Calculate the length, to the nearest kilometre, of OQ.[7 marks]
  9. 11(b)(ii)c)Calculate the bearing of Q from O.[7 marks]

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