A circle \(C\) with centre at ( \(- 2,6\) ) passes through the point ( 10,11 ).
Show that the circle \(C\) also passes through the point \(( 10,1 )\).
The tangent to the circle \(C\) at the point \(( 10,11 )\) meets the \(y\) axis at the point \(P\) and the tangent to the circle \(C\) at the point \(( 10,1 )\) meets the \(y\) axis at the point \(Q\).
Show that the distance \(P Q\) is 58 explaining your method clearly.