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4 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2004 · Paper 2 · Question 3(a)(i)

A diagram shows points A(-4, -8), P(-1, 3), B(4, 4), and Q. PQ is perpendicular to AQB.

Find the equation of the line AB.

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Other parts of this question

  1. 3(a)(ii)Find the equation of the line PQ.[4 marks]
  2. 3(a)(iii)Find the coordinates of the point Q.[4 marks]
  3. 3(b)Solve, for 0° ≤ θ ≤ 180°, the equation 6 cos² θ + sin θ = 4.[7 marks]
  4. 3(c)Solve, for 0 ≤ x ≤ π, the equation sin x + sin 3x = 0.[6 marks]

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