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5 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 2 · Question 4(a)(i)

Determine the Cartesian equation of the curve, C, defined by the parametric equations y = 3 sec θ and x = 3 tan θ.

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Other parts of this question

  1. 4(a)(ii)Find the points of intersection of the curve y = √10x with C.[9 marks]
  2. 4(b)(i)Express p and q in the form xi + yj.[2 marks]
  3. 4(b)(ii)Obtain the vector p - q.[2 marks]
  4. 4(b)(iii)Calculate p.q.[2 marks]
  5. 4(b)(iv)Let the angle between p and q be θ. Use the result of (iii) above to calculate θ in degrees.[5 marks]

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