Question 1023668

Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle 
<pre>Coordinates of center: {{{highlight_green(matrix(1,2,"(0,", "- 3)"))}}}
Equation of circle: {{{highlight_green(x^2 + (y + 3)^2 = 20)}}}