Find the coordinates of the centre radius of each of the following circle:

x² + y² + 6x - 8y - 24 = 0

Given equation of the circle is x² + y² + 6x - 8y - 24 = 0 …… (1)

We know that for a circle x² + y² + 2ax + 2by + c = 0 ……(2)

⇒ Centre = (- a, - b)

⇒ Radius =

Comparing (1) with (2) we get,

⇒ Centre =

⇒ Centre = (- 3,4)

⇒ Radius =

⇒ Radius =

⇒ Radius = √49

⇒ Radius = 7

∴ The centre and radius of the circle is (- 3,4) and 7.