Find the equation of the circle with centre (1, 1) 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) = (1, 1)

and radius (r ) = √2.

Therefore, the equation of the circle is

(x - 1)² + (y - 1)² = (√2)²

x² - 2x + 1 + y² - 2y + 1 = 2

x² + y² - 2x - 2y = 0

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.1 Question 4

Find the equation of the circle with centre (1, 1) and radius √2.

Summary:

The equation of the circle is  x² + y² - 2x - 2y = 0