- The circle \(C\)
- has centre \(A ( 3,5 )\)
- passes through the point \(B ( 8 , - 7 )\)
- Find an equation for \(C\).
The points \(M\) and \(N\) lie on \(C\) such that \(M N\) is a chord of \(C\).
Given that \(M N\)
- lies above the \(x\)-axis
- is parallel to the \(x\)-axis
- has length \(4 \sqrt { 22 }\)
- find an equation for the line passing through points \(M\) and \(N\).