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4 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2004 · Paper 2 · Question 11(a)(i)b)

In the diagram, VWZ and WXYZ are two circles intersecting at W and Z. SVT is a tangent to the circle at V, VWX and VZY are straight lines, TVY = 78° and SVX = 51°.

Calculate the size of angle XYZ, giving reasons for your answer.

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Other parts of this question

  1. 11(a)(i)a)Calculate the size of angle VZW, giving reasons for your answer.[4 marks]
  2. 11(b)(i)Draw a diagram to represent the information given below. Show clearly the north line in your diagram.[11 marks]
  3. 11(b)(ii)Calculate, to the nearest kilometre, the actual distance GH.[11 marks]
  4. 11(b)(iii)Calculate, to the nearest degree, the bearing of H from G.[11 marks]

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