CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 4(a)(ii)

The circles C₁ and C₂ are defined by the parametric equations as follows: C₁: x = √10 cos θ – 3; y = √10 sin θ + 2. C₂: x = 4 cos θ + 3; y = 4 sin θ + 2.

Hence or otherwise, find the points of intersection of C₁ and C₂.