Where on Earth?!

Geometry Level 2

Dora, the explorer, is at some point P P on the earth. She walks one mile north, then one mile east, and then one mile south again. Surprisingly, she ends up where she started.

Is there such a point P P on the earth?

Assume that the earth is a perfect sphere with two designated north and south poles.

There are infinitely many circles of such points There is an entire circle of such points There is one such point There are no such points

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