Find the centre and radius of each of the following circles :
x2 + (y – 1)2 = 2
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.
Comparing the given equation of circle with general form we get:
h = 0 , k = 1, r2 = 2
⇒ centre = (0, 1) and radius = √2units.
Ans: centre = (0, 1) and radius = √2units.