Q. 54.4( 40 Votes )

In each of the following, find the equation of the circle with

Centre (–a, –b) and radius .

Answer :

The equation of a circle with centre (h,k) and radius r is given as


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


It is given that centre (h,k) = (-a, -b) and radius (r) =


(x + a)2 +(y + b)2 =


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


x2 + y2 +2ax + 2by + 2b2 = 0


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