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7 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2003 · Paper 2 · Question 3(a)

In a diagram not drawn to scale, the line 2x + 3y = 6 meets the y-axis at A and the x-axis at B. C is a point on the line 2x + 3y = 6 such that AB = BC. CD is drawn perpendicular to AC to meet the line through A parallel to 5x + y = 7 at D.

Find the coordinates of A, B and C.

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Other parts of this question

  1. 3(b)Find the equations of the lines CD and AD.[7 marks]
  2. 3(c)Find the coordinates of the point D.[5 marks]
  3. 3(d)Calculate the area of triangle ACD.[6 marks]

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