From the point \( \mathrm{A}(0,3) \) on the circle \( \mathrm{x}^{2...
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From the point \( \mathrm{A}(0,3) \) on the circle \( \mathrm{x}^{2}+4 \mathrm{x}+(\mathrm{y}-3)^{2}=0 \) a chord \( \mathrm{AB} \) is drawn and extended to a point \( M \) such that \( A M=2 A B \). The equation of the locus of \( M \) is :
\( \mathrm{P} \)
(A) \( x^{2}+8 x+y^{2}=0 \)
(B) \( x^{2}+8 x+(y-3)^{2}=0 \)
(C) \( (x-3)^{2}+8 x+y^{2}=0 \)
(D) \( x^{2}+8 x+8 y^{2}=0 \)
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