If \( S \equiv x^{2}+4 x y+3 y^{2}-4 x+2 y+1=0 \), then the value of \( \lambda \) for which \( ...

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If \( S \equiv x^{2}+4 x y+3 y^{2}-4 x+2 y+1=0 \), then the value of \( \lambda \) for which \( S+\lambda=0 \) represents its asymptotes is
(a) 20
(b) 18
(c) \( -16 \)
(d) \( -22 \)
\( P \)
\( \mathrm{W} \)
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