when does a person become indifferent

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"The opposite of love is not hate. It is indifference." I got this line from one of the leading TV series nowadays. It somewhat struck me after reading it, considering that there are some people whom I am indifferent with right now. But before incorporating a new idea in my system, I usually make a deep assessment of what it means, and how it is manifested at some point in my life. Being indifferent, as I may surmise, is the pinnacle of ending any form of relationship towards another person where no concern or trust remains despite the amount of time that was spent together. A person you are indifferent with can be compared to a dust in a cupboard; it just lies there, unnoticed, undisturbed, practically worthless. You can easily set them aside, as you may literally say wipe them our anytime. They exist for a certain reason, and definitely it has nothing to do with you anymore. There are a lot of reasons why you might end up treating a person this way. It is where you simply let go of a person, make him/her decide for themselves, live their lives free according to what they believe and how they wish to do it. What possible reasons can you think for a person to do such?