Find the centre and radius of the following circles : `ax^2 + ay^2 + 2gx + 2fy + K = 0`

Explanation

`ax^2 + ay^2 + 2gx + 2fy + K = 0`
or, `x^2 + y^2 + (2g)/a x + (2f)/a y + k/a = 0`
`therefore` Centre of (-g/a, -f/a)
and radius = `sqrt(g^2/a^2 + f^2/a^2 - k/a) = sqrt((g^2 + f^2 - ak)/a)`