Answer
(b), (c), (e), (g)
Work Step by Step
Observation from circle
* Center say (a, b) in 1st Quadrant so, so both a and b must be positive
This criteria rules out options
$(a)\ (x - 2)^2 + (y + 3)^2 = 13$
$(d)\ (x +2)^2 + (y - 2)^2 = 8$
$(f)\ x^2 + y^2 + 4x - 2y = 0$
* Also circle passes through origin so
$r^2 = a^2 +b^2$
This rules out option
$(h)\ x^2 + y^2 - 4x - 4y = 4$
