You must be able to recognise when an equation represents a circle.
The general equation of a circle normally appears in the form where (-g, -f) is the centre of the circle and is the radius.
Notice that for the circle to exist .
Look at the following worked examples.
so equation represents a circle with centre (-3, 4) and radius
so does not represent a circle.
For we must write this starting like this:
so the equation represents a circle with centre and radius
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