Find the locus of a point, which moves such that its \( \mathrm{P} ...

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Find the locus of a point, which moves such that its
\( \mathrm{P} \) distance from the point \( (0,-1) \) is twice its distance

W from the line \( 3 x+4 y+1=0 \)
(1) \( 11 x^{2}+39 y^{2}-96 x y+24 x-18 y-21=0 \)
(2) \( 11 x^{2}+39 y^{2}+96 x y+24 x-18 y-21=0 \)
(3) \( 11 x^{2}+39 y^{2}+96 x y-24 x-18 y-21=0 \)
(4) \( 11 x^{2}-39 y^{2}+96 x y+24 x-18 y-21=0 \)
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