Question Summary:
Removing hairs from between the eyebrows; wearing 9ct jewellery and determining the completion of haidh.

Question Detail:

Can a woman remove hair between the eyebrows?
Can she wear 9ct jewellery?
How does a woman determine when her haiz is complete?

Answer :

In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.
In principle, it is permissible for women to remove unwanted hair from the face, including the hair in between the eyebrows.  However, one should be very cautious of the hair from the natural body of the eyebrows.[1]  It is not permissible to remove or shape the natural body of the eyebrows.
With regards to your second query, a nine carat gold ring is 9/24 parts gold by mass, or 37.5% gold. This means that 62.5% of the ring is another metal.[2] 
The permissibility of wearing such a ring is dependent on the other alloy.  Usually, a 9 carat gold ring is made from one of three alloys: copper, nickel or silver. 
If the alloy is copper, it will not be permissible to wear such a ring.  The wearing of a ring composed of iron, copper, lead or brass is impermissible.[3] 
If the alloy is made of nickel or silver, it will be permissible to wear a 9 carat ring. 
Women can wear rings from every other material besides the above mentioned metals.[4]
As for your third query, one’s menstrual cycle (haidh) will be complete when blood ceases to exit.  The sign of the menstrual cycle finishing is the absence of blood on one’s pad.  This is dependent on the cycle of each woman.   
If a woman experiences the maximum limit of menstruation which is ten days, her menstruation cycle will be complete upon the passing of ten days.  It will be permissible for the husband to have relations with his wife upon the expiry of ten days without the woman needing a compulsory ghusl (shower).[5]
If a woman experiences a cycle less than ten days, her menstruation cycle will be complete upon the completion of her habit.  However, the husband will not be allowed to have relations with her unless the woman has a ghusl.[6]       
And Allah Ta’ālā Knows Best
Mawlana Faraz ibn Adam
Student Darul Iftaa
Leicester, United Kingdom
Checked and Approved by,
Mufti Ebrahim Desai.