The value of \( c \) for which the set, \( \left\{(x, y) \mid x^{2}+y^{2}+2 x \leq 1\right\} \...

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The value of \( c \) for which the set, \( \left\{(x, y) \mid x^{2}+y^{2}+2 x \leq 1\right\} \cap \) \( \{(\mathrm{x}, \mathrm{y}) \mid x-y+c \geq 0)\} \) contains only one point in common is
(a) \( (-\infty,-1] \cup[3, \infty) \)
(b) \( \{-1,3\} \)
(c) \( \{-3\} \)
(d) \( \{-1\} \)
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