Further Coordinate Geometry: Problem involving Circle II

A circle, C1, has a diameter AB where A is the point (6,-2) and B is the point (12,6). 

(a) Find the coordinates of the centre of the radius of C1.

(b) Find the equation of C1.

(c) Show that the equation of the tangent to the circle at A is 4y+3x=10.

 

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