The origin lies within the circle with equation \[x^2+ax+y^2+by=c\] precisely when

\(c > 0\)

\(a^2 + b^2 > c\)

\(a^2 + b^2 < c\)

\(a^2 + b^2 > 4c\)

\(a^2 + b^2 < 4c\).

Can we write this equation in the form \((x-p)^2+(x-q)^2=r^2\)?

Which inequality denotes the region that is the inside of this circle?