Get location in background AND when app is terminated

Is there a way to get

1. Location notification when the app is in the background

2. Location notification After the app is terminated

3. When terminated - get the location notification for movement of less than 500 meters

ALL IN SAME APP?

(i've seen articles that says you should use

[myLocationManager startMonitoringSignificantLocationChanges]; 

INSTEAD of -

[myLocationManager startUpdatingLocation];

can i use both?)

thanks