Correct Answer : $minDistance
Explanation : $minDistance is available for use with 2dsphere index only.
Correct Answer : sh.disableBalancing()
Explanation : sh.disableBalancing() does not affect balancing of other collections in a sharded cluster.
Correct Answer : sh.getBalancerHost()
Explanation : sh.enableSharding() enables sharding on a specific database.
Correct Answer : sh.getBalancerState()
Explanation : sh.getBalancerState() returns true when the balancer is enabled and false if the balancer is disabled.