In each of the following, find the equation of the circle with
Centre (1,1) and radius
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) =(1, 1) and radius (r) =.
Therefore, the equation of the circle is
(x-1)2 + (y-1)2=
⇒ x2 – 2x + 1 + y2 -2y + 1 =2
⇒ 2 + y2 -2x -2y=0