Consider the circle \( c: x^{2}+y^{2}=1 \) and the line \( L: y=m(x+2) \). If \( L \) intersect ...

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Consider the circle \( c: x^{2}+y^{2}=1 \) and the line \( L: y=m(x+2) \). If \( L \) intersect \( c \) at \( P \) and \( Q \), then locus of middle point of \( P Q \) is
(a) \( (x+1)^{2}+y^{2}=1 \)
(b) \( x^{2}+(y-1)^{2}=1 \)
(c) \( (x-1)^{2}+y^{2}=1 \)
(d) \( x^{2}+(y+1)^{2}=1 \)
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