The conic function is
.
The general form of the conic equation is
.
Identify the conic section using the discriminant of
.
If a circle
;
and
.
If an ellipse
; either
and
.
If a hyperbola
.
If an parabola
.
The conic function is 
Here
,
and
.
Substitute
and
values in
.
.
The discriminant is
and
and
, hence the conic is a circle.
The conic is a circle.