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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · 2021 · Paper 2 · Question 9(a)(iii)

In the diagram, E, C, G and F are points on the circumference of a circle. EG is a diameter of the circle. The tangent AEB is parallel to CD. Angle AEC = 68^\circ and angle EFD = 106^\circ. Determine the value of angle ECD. Show detailed working where necessary and give a reason to support your answer.

Determine the value of angle CGF and give a reason to support your answer.

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Other parts of this question

  1. 9(a)(i)Determine the value of angle ECD and give a reason to support your answer.[2 marks]
  2. 9(a)(ii)Determine the value of angle CEG and give a reason to support your answer.[2 marks]
  3. 9(b)(i)Complete the diagram to show the information given.[1 mark]
  4. 9(b)(ii)Calculate QR, the distance between the two ships, to the nearest km.[3 marks]
  5. 9(b)(iii)Calculate how far due south is Ship R of the harbour, H.[2 marks]

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