When using horizontal sextant angles of three objects to fix your position, an indeterminate position will result in which situation?

Correct Answer: Option B — A circle will pass through your position and the three objects.

In three-point horizontal sextant angle fixes, an indeterminate position (the 'revolver' or danger circle) occurs when the vessel's position and all three observed landmarks lie on the circumference of the same circle, causing the position circles to coincide.