Find the centre and radius of each of the following circles : x2 + (y

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

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

Answer»

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

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