a. Show that x 2 + y 2 10x + 4y 20 = 0 can

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a. Show that x2 + y2 − 10x + 4y − 20 = 0 can be written in the form (x − a)2 + (y − b)2 = r2, where a, b and r are numbers to be found.

b. Hence write down the centre and radius of the circle with equation x2 + y2 − 10x + 4y − 20 = 0.

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