Circles C₁, C₂ and C₃ have radius 1 unit, 2 units and 3 units respectively. Their centres are X, Y and Z respectively.

C₁ touches C₂ at A, C₂ touches C₃ at B and C₃ touches C₁ at C.

What is the exact ratio of the area of the triangle ABC to that of triangle XYZ in the case that

(i) A is outside C₃ ? 

(ii) A is inside C₃ ?