Review question

# 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

Ref: R7599

## Suggestion

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?