Question

# 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.

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Solution

## 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,

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