# Find the equation

The general form of the equation of a circle is:

(x - h)2 + (y - k)2 = r2

Where, (h, k) is the centre of the circle.

r is the radius of the circle.

Substituting the centre and radius of the circle in he general form:

(x - ( - a ))2 + (y - ( - b))2 = (a22 - b22 )2

(x + a )2 + (y + b)2 = a2 - b2

x2 + 2xa + a2 + y2 + 2yα + b2 = a2 - b2

x2 + 2xa + y2 + 2yα = a2 - 2b2

x2 + y2 + 2a(x + y) = a2 - 2b2

x2 + y2 + 2a(x + y) = a2 - 2b2

Ans; equation of a circle with Centre ( - a, - b) and radius

is:

x2 + y2 + 2a(x + y) = a2 - 2b2

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