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In the coordinate plane, one circle is centered at (0,-1), and another circle is centered at (-3,2), as shown below.  The two circles are internally tangent.

 

The equation of the smaller circle can be expressed in the form x^2 + y^2 + Dx + Ey + F = 0.  Find D + E + F.

 
 Apr 22, 2026, 12:34 AM

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