**8/20/2014****
**Find
the absolute value of the difference of the y-intercepts of the
circle with Centre, C(-2, 3) passing through P(4, -1).

**Scroll
down for the solution.**

**8/20/21014
**Solution.
**Using
the distance formula, ***r
***=
√52, so the equation of the circle is: (x + 2)**^{2}**
+ (y – 3)**^{2}**
= 52 with the y-Intercepts, (3 ± 4√3, 0). Required
difference = |(3 + 4√3) – (3 – 4√3)| = 8√3**