Capital gains

Anand (Avp) (67 Points)

19 June 2020  
I own a residential property in my name.
My mother recently sold a flat in her name and incurred capital gain. Earlier we had intention of buying a new property. So, amount was transferred in capital gains account.
Now we do not want to invest in any new property.

Questions are,

1. Whether my mother can buy property from me by paying applicable duties, with the money from capital gains i.e does it require any arm's length transaction.

2. If above transaction is possible then is there any tax implication for me.