The correct option is D At the centre of the earth
At the center, for every particle of mass in the earth to attract you gravitationally, there's an equal particle with the same mass, located at the same distance from you in exactly the opposite direction, balancing out the force toward the first one. All of this is a theoretically ideal case. It assumes that the earth is a perfect sphere, with the same distribution of mass in every direction from the center.so, the acceleration of gravity would be zero at the center.
hence,option D is correct.