What is a Hajj Mabrur?

Assalaam Aliekum Haj mabroor means faultless haj so, if a person gets into argument with any of his family members is his haaj not mabroor? what would it be then?arguments with your mother or siter or brother in law? also is it true that a haajis duas are accepted till 40 days after his return?

Walaikum assalam wa rahmatullahi wa barakatuh,

I pray this finds you in the best of health and spirits.

A Hajj Mabrur (an accepted Hajj) is a Hajj performed--overall--in a manner pleasing to Allah, and its signs are that a person returns with resolve and determination to fulfill their duty to Allah in a pleasing manner. If this is the case, then such a person's duas are likely to be answered--not just 40 days after their return, but beyond as well.

See also:
What are the indications if Allah has blessed someone with an accepted hajj (hajj mabrur)?

And Allah alone gives success.

Faraz Rabbani