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5 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 6(a)(i)

The diagram below (not drawn to scale) shows the region bounded by the lines y = 3x - 7, y + x = 9 and 3y = x + 3.

Show that the coordinates of A, B and C are (4, 5), (3, 2), and (6, 3) respectively.

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Other parts of this question

  1. 6(a)(ii)Hence, use integration to determine the area bounded by the lines.[6 marks]
  2. 6(b)(i)Determine the equation of the curve.[3 marks]
  3. 6(b)(ii)Find the coordinates and nature of the stationary point of the curve in (b) (i) above.[8 marks]
  4. 6(b)(iii)Sketch the curve in (b) (i) by clearly labelling the stationary points.[3 marks]

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