Quelpr
8 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2026 · Paper 2 · Question 3(d)

Determine the points of intersection of the curves 2x² - y - 11 = 0 and x² - 4x - y + 10 = 0.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)Show that 1 + tan² θ = sec² θ.[3 marks]
  2. 3(b)(i)Derive the identity for cos 2θ in terms of cos θ only.[3 marks]
  3. 3(b)(ii)Hence, solve cos 2θ - 3 cos θ = 1 for 0 ≤ θ ≤ 2π.[6 marks]
  4. 3(c)Determine the equation of the circle that has (1, 0) and (3, 2) as endpoints of a diameter.[5 marks]

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