When does the origin lie inside this circle?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

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

1. \(c > 0\)

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

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

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

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

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?