@Johny Bravo, you have drawn the COF the other way round.
@sayanakaharry, @ambush is right when he says the relative minor is 3 semitones below the major. Its exactly the same as the 6th note in the major scale. Both of you are correct. Some prefer @ambush's style while others prefer to remember the 6th note formula.
There is nothing called CHORD FAMILIES. There are just CHORD PROGRESSIONS in a scale.