Find the equation of the circle with centre (0,2) and radius 2
Solution: The equation of a circle with centre (h,k) and radius r is given by, (x−h)2+(y−k)2=r2 Here it is given that centre (h,k)=(0,2) and radius r=2 Therefore the equation of required circle is, (x−0)2+(y−2)2=22 ⇒x2+y2+4−4y=4 ⇒x2+y2−4y=0
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