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Find the centre and radius of each of the following circles : x2 + (y – 1)2 = 2

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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.

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