Question 22N.1A.SL.TZ0.22

The centre of the Earth and the Moon are a distance $D$ apart. There is a point X between them where their gravitational fields cancel out. The distance from the centre of the Earth to X is $d$. The mass of the Earth is $M_{\text{E}}$ and the mass of the Moon is $M_{\text{M}}$.

What is correct at X?

A.  $\frac{M_{\text{E}}}{d}=\frac{M_{\text{M}}}{D-d}$

B.  $\frac{M_{\text{E}}}{D-d}=\frac{M_{\text{M}}}{d}$

C.  $\frac{M_E}{d^2}=\frac{M_{\text{M}}}{{\left(D-d\right)}^2}$

D.  $\frac{M_E}{d^2}=\frac{M_{\text{M}}}{D^2-d^2}$