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 as

(x - h)² + (y - k)² = r²

It is given that centre (h, k) = (0, 2) and radius (r) = 2

Therefore,

the equation of the circle is

(x - 0)² + (y - 2)² = 2²

x² + y² - 4y + 4 = 4

x² + y² - 4y = 0

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.1 Question 1

Find the equation of the circle with centre (0, 2) and radius 2

Summary:

The equation of the circle is x² + y² - 4y = 0