Further Coordinate Geometry: Problems involving two circles.

A circle L is given by the equation 

(a) Find the coordinates of the centre of the circle and the radius of the circle.

(b) Determine, with working, if the point (-2,5) lies inside or outside the circle.

(c) Another circle M, with centre (4,14), touches the circle L at one point. Find

(i) the distance between the two centres.

(ii) the eqwuation of circle M in the form of 

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