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).
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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