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6 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 6(c)(i)

The figure below (not drawn to scale) shows part of the line y + 2x = 5 and part of the curve y = x (4-x) which meet at A. The line meets Oy at B and the curve cuts Ox at C.

Find the coordinates of A, B and C.

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Other parts of this question

  1. 6(a)Use the substitution u = 3x² + 1 to find ∫ x dx / √(3x² + 1).[6 marks]
  2. 6(b)Find the equation of C.[4 marks]
  3. 6(c)(ii)Hence find the exact value of the area of the shaded region.[9 marks]

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