Quelpr
1 markCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2017 · Paper 2 · Question 6(a)(i)

Triangle PQR has vertices P(0, 1) Q(3, 3) and R(4, 2).

On the axes below, sketch triangle PQR.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 6(a)(ii)Determine the equations of EACH of the following: PQ, QR, PR.[7 marks]
  2. 6(a)(iii)Hence, use integration to determine the area of triangle PQR.[7 marks]
  3. 6(b)The voltage in a circuit, V, satisfies the equation dV/dt + V/2.5 = 0. Given that V = 25 volts when t = 0 seconds, write an expression for V in terms of t.[5 marks]
  4. 6(c)Given that ∫[-1,3] (3f(x) + g(x)) dx = 5 and ∫[-1,3] (5f(x) - 2g(x)) dx = 1, determine ∫[-1,3] f(x) dx and ∫[-1,3] g(x) dx.[5 marks]

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