The centre of a circle is (2a, a-7). Find the values of a if the circle passes through the point (11, -9) and has diameter 10√2 units.
The distance of the centre of the circle from any point on the circle is the radius of the circle where the radius is half of the diameter.
Radius = ---- (i)
Radius = ---- ii
From (i) and (ii)
=
Square both sides,