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Q5 of 62 Page 11

Find the equation of the circle with centre (–a, –b) and radius .

Here, h = -a, k = -b and r =

. Therefore, the required equation of the circle is

(x – (-a))² + (y – (-b))² = (

(x + a)² + (y + b)² = a² – b²

or x² + 2ax + a² + y² + 2by + b² = a² – b²

or x² + y² + 2ax+ 2by + 2b² = 0.

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