Answer:
The correct option is c.
Step-by-step explanation:
The standard form of a circle is
.... (1)
Where, r is the radius and (h,k) is the center of the circle.
The given equation is


To make a perfect square add and subtract
in the parenthesis. where, b is coefficient of middle term and a is leading coefficient.



Add 1 both sides.
. ... (2)
On comparing (1) and (2), we can say that the center of the circle is (4,3).
The equation of circle having center (4,3) with radius 2 is

Therefore option c is correct.