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Geometry

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Difficult

Find the Points of Intersection of Two Circles

GEOM-RBV5YK

Two circles are pictured below. Their equations are as follows:

${ (x-3 })^{ 2 }+{ (y-2) }^{ 2 }=16$ (red circle)
${ (x+1 })^{ 2 }+{ (y-1) }^{ 2 }=9$ (blue circle)

Where do these circles intersect?

“Mark Czaplewski Created for Albert.io. Copyright 2016. All rights reserved.”

A

$(0.791, -1.425)$ and $(-0.587, 3.965)$

B

$(0.8619, -1.355)$ and $(-0.498, 4.012)$

C

$(0.842, -1.368)$ and $(-0.489, 3.956)$

D

$(0.855, -1.377)$ and $(-0.499, 3.929)$

E

$(0.842, -1.377)$ and $(-0.489, 3.929)$

F

$(0.855, -1.368)$ and $(-0.499, 3.956)$

G

$(0.842, -1.355)$ and $(-0.587, 3.956)$