Find the equation of the circle which passes through the points `(5,-8), (2,-9) and (2,1)`. Find also the coordinates of its centre and radius.

Explanation

To find the equation of the circle that passes through the points (5, -8), (2, -9), and (2, 1), we can use the general equation of a circle:

\[ x^2 + y^2 + Dx + Ey + F = 0 \]

where \(D\), \(E\), and \(F\) are constants that we need to determine.

...