Someone told me, the opposite of love is hatred. Is that right?

Yeah love & hate that's right
Peace & war etc

Love and hate are two extremes of the same emotion, and the opposite, is not caring.

I'd agree with Tal--the opposite of Love is "apathy"

To add... the words of the great Dr. Gregory House:

There is not a thin line between love and hate. There is --- in fact --- a Great Wall of China with armed sentries posted every 20 feet between love and hate.