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Two point masses \( A \) and \( B \) having masses in the ratio \( 4: 3 \) are separated by a distance of \( 1 \mathrm{~m} \). When another point mass \( C \) of mass \( M \) is placed in between \( A \) and \( B \), the force between \( A \) and \( C \) is \( \frac{1}{3} \) rd of the force between \( B \) and \( C \). Then the distance of \( C \) from \( A \) is
a) \( \frac{2}{3} \mathrm{~m} \)
b) \( \frac{1}{3} m \)
c) \( \frac{1}{4} \mathrm{~m} \)
d) \( \frac{2}{7} \mathrm{~m} \)
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