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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · 2003 (Specimen) · Paper 2 · Question 11(a)(iii)

ABC is a tangent to the circle with centre O. AOD is a straight line and angle AOB is 70^\circ.

Calculate, giving a reason for your answer, the size of \angle DAB.

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Other parts of this question

  1. 11(a)(i)Calculate, giving a reason for your answer, the size of \angle OBD.[2 marks]
  2. 11(a)(ii)Calculate, giving a reason for your answer, the size of \angle DBC.[2 marks]
  3. 11(b)(i)Draw a carefully labelled diagram to show the relative positions of A, B and C.[2 marks]
  4. 11(b)(ii)Show that angle ABC = 120^\circ.[2 marks]
  5. 11(b)(iii)Calculate the distance AC.[3 marks]
  6. 11(b)(iv)Calculate, to the NEAREST degree, the bearing of C from A.[2 marks]

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