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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2007 · Paper 2 · Question 11(a)(i)a)

This question involves geometry and trigonometry. For part (a), two circles with centres P and Q and radii 5 cm and 2 cm respectively are drawn so that they touch each other at T and a straight line XY at S and R.

State, with a reason, why PTQ is a straight line.

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Other parts of this question

  1. 11(a)(i)b)State, with a reason, the length PQ.[2 marks]
  2. 11(a)(i)c)State, with a reason, why PS is parallel to QR.[2 marks]
  3. 11(a)(ii)a)Calculate the length PN.[2 marks]
  4. 11(a)(ii)b)Calculate the length RS.[2 marks]
  5. 11(b)(i)Calculate, giving reasons for your answers, the size of EACH of the following angles: ∠MNL.[2 marks]
  6. 11(b)(ii)Calculate, giving reasons for your answers, the size of EACH of the following angles: ∠LMO.[3 marks]

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