Can i pay rent to parents in jointly owned property?

Hi, 

I purchased a property in joint ownership with my mother and when have defined 50:50 share in the house. Now, the house is self occupied by me. 

1. Can I pay rent to my mother so that she gets rental income for her share of the property?

2. While I pay rent to my mother will I be eligible to take HRA benefit?

3. Since I took loan for the flat will I also be eligible for loan interest payment deduction?

So basically, Will I get both HRA and interest payment tax deduction in this scenario?

PS: I saw multiple version of this query and answers so would appreciate reply with reference to sections. Thanks much!