Find the centre and radius of the circle (x + 5)² + (y - 3)² = 36

Solution:

The equation of the given circle is (x + 5)² + (y - 3)² = 36

⇒ (x + 5)² + (y - 3)² = 36

⇒ [x - (- 5)]² + (y - 3)² = 6²

which is of the form (x - h)² + (y - k)² = r

Therefore,

on comparing both equations we get

h = - 5, k = 3 and r = 6

Thus, the center of the given circle is (- 5, 3) while its radius is 6

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.1 Question 6

Find the centre and radius of the circle (x + 5)² + (y - 3)² = 36

Summary:

The center and radius of the circle are (- 5, 3) and 6 respectively