- The circle \(C _ { 1 }\) has equation
$$x ^ { 2 } + y ^ { 2 } + 8 x - 10 y = 29$$
- Find the coordinates of the centre of \(C _ { 1 }\)
- Find the exact value of the radius of \(C _ { 1 }\)
In part (b) you must show detailed reasoning.
The circle \(C _ { 2 }\) has equation
$$( x - 5 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 52$$
- Prove that the circles \(C _ { 1 }\) and \(C _ { 2 }\) neither touch nor intersect.