3 A circle has centre \(C ( 2 , - 1 )\) and radius 5 . The point \(P\) has coordinates \(( 6,2 )\).
- Write down an equation of the circle.
- Verify that the point \(P\) lies on the circle.
- Find the gradient of the line \(C P\).
- Find the gradient of a line which is perpendicular to \(C P\).
- Hence find an equation for the tangent to the circle at the point \(P\).