The centre is displaced 3 units to the right and 4 units up, so the left side is (x-3)^2 + (y-4)^2
The radius of the circle equals the distance between the centre and the origin. By the pythogorean theorem, R^2 = 3^2 + 4^2 = 25.
So, the equation of the circle is (x-3)^2 + (y-4)^2 = 25.
This means that there is a flaw in the question as none of the options are correct.