I'm not quite sure about the use of preposition in the sentence below.
Should I write
A is located on the north of B
A is located in the north of B
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If you mean "A is farther north than B", then you don't need a preposition, but if you want to use one, then use to:
The USA is north of Mexico. Canada is even farther (to the) north.
If you mean "A is in the north part of B", then use northern (for large geographic areas):
The Yukon is in northern Canada.
For smaller areas, such as a public park:
The pond is north of the park. (It is outside the park.)
The pond is at the north end of the park. (It is inside the park.)