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5 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 2 · Question 6(b)(iv)

Find the coordinates of the points P and Q at which the curve C meets the x-axis.

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Other parts of this question

  1. 6(a)(i)Given that y = √4x² – 7, show that y dy/dx = 4x.[3 marks]
  2. 6(a)(ii)Hence, or otherwise, show that y d²y/dx² + (dy/dx)² = 4.[3 marks]
  3. 6(b)(i)Find the equation of C.[4 marks]
  4. 6(b)(ii)Find the coordinates of the stationary points of C.[3 marks]
  5. 6(b)(iii)Determine the nature of EACH stationary point.[3 marks]
  6. 6(b)(v)Hence, sketch the curve C, showing[1 mark]
  7. 6(b)(v)a)the stationary points[1 mark]
  8. 6(b)(v)b)the points P and Q.[4 marks]

More practice: the rest of this paper · more Co-ordinate Geometry questions · all CAPE Pure Mathematics Unit 1 past papers