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SAT® Math

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Inside of Two Circles

SATMAT-6XYW1V

Circle $P$ and circle $Q$ are graphed on the same$ xy$ -plane.

If the equation of circle $P$ is $ { (x+1) }^{ 2 }+{ (y-1) }^{ 2 }=5 $, and the equation of circle $Q$ is $ { (x-3) }^{ 2 }+{ y }^{ 2 }=7 $, then which of the following points is located in the interior of both of these circles?

(Calculator)

A

$(1,-0.5)$

B

$(1,0.5)$

C

$(0.5,-1)$

D

$(0,0.5)$