At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero?(Take, mass of earth and moon as 5.98 x 1024 kg and 7.35 x 1022 kg respectively and the distance betweenmoon and earth is 3.855x 108 m.) [JIPMER 2018]

Given, Me=5.98×1024 kg,Mm=7.35×1022 kg  andr=3.855×108 mLet x be the distance of the point from the centre of earth, where gravitational intensity is zero. Therefore,GMex2=GMm3855×108-x2or     x3.855×108-x=MeMm=598×10247.35×1022≅9or     x9+x=3855×108or    x=9×3.855×108/10=3.469×108 mDistance from moon  =3.855×108-3.469×108                                   =3.86×107 m                                    ≅3.85×107 m