The centre of the Earth is separated from the centre of the Moon by a distance D. Point P lies on a line joining the centre of the Earth and the centre of the Moon, a distance X from the centre of the Earth. The gravitational field strength at P is zero.

What is the ratio \(\frac{{{\text{mass of the Moon}}}}{{{\text{mass of the Earth}}}}\)?

A.  \(\frac{{{{\left( {D - X} \right)}^2}}}{{{X^2}}}\)

B.  \(\frac{{\left( {D - X} \right)}}{X}\)

C.  \(\frac{{{X^2}}}{{{{\left( {D - X} \right)}^2}}}\)

D.  \(\frac{X}{{D - X}}\)

A