Circles and Hyperbola, SMB-015 Find the centre and radius of the circle with the equation `x^2+10x + y^2-6y+33 = 0` (2 marks) Show Answers Only `text(Centre)\ (-5,3)` `text(Radius = 1)` Show Worked Solution `x^2+10x + y^2-6y+33` `= 0` `x^2+10x + 25 + y^2-6y+9-1` `= 0` `(x+5)^2 + (y-3)^2` `= 1` `:.\ text(Centre)\ (-5,3)` `:.\ text(Radius = 1)`