Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = ( - [tex]\frac{1}{5}[/tex], [tex]\frac{1}{3}[/tex] ) and r = [tex]\frac{1}{2}[/tex], thus
(x - (- [tex]\frac{1}{5}[/tex] ))² + (y - [tex]\frac{1}{3}[/tex] )² = ( [tex]\frac{1}{2}[/tex] )², that is
(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{1}{3}[/tex] )² = [tex]\frac{1}{4}[/tex] → D
