Which is the latitude that runs through the centre of the Earth?

Equator

The Equator is the invisible line that runs around the center of the Earth at 0 degrees latitude. An equator is an imaginary line around the middle of a planet or other celestial body. It is halfway between the North Pole and the South Pole, at 0 degrees latitude.

source of info: Goo_gle

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Tropic of cancer 23 1/2° N