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Without changing the direction of the axes, the origin is transferred to the point \((2,3)\). Then the equation \(x^{2}+y^{2}-4 x-6 y+9=0\) changes to
(A) \(x^{2}+y^{2}+4=0\)
(B) \(x^{2}+y^{2}=4\)
(C) \(x^{2}+y^{2}-8 x-12 y+48=0\)
(D) \(x^{2}+y^{2}=9\)

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Ans: (B)
Hint : \(x \rightarrow x+2, y \rightarrow y+3\) in given curve \(\Rightarrow x^{2}+y^{2}=4\)
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