Is the hair that grows beneath the eye part of the beard?
Question

                I would like some guidence regarding the beard. It is known and said by the Prophet (peace be upon him) that the beard is compulsory therefore it is a must. I wanted to know the hairs above the beard line, for example I have hairs that grow below a thumb width below the eye, is it permissable to remove this?

I have read other questions on this, but I am stil in confusion.
Praise be to Allah.
      Firstly: 

    The saheeh hadeeths indicate that it is obligatory to let the 
    beard grow and it is haraam to shave it or cut it. 

    The scholars of the Standing Committee for Issuing Fatwas 
    were asked: What is the ruling on shaving the beard or trimming some of it? 

    They replied: 

    Shaving the beard is haraam, because of the clear saheeh 
    hadeeths and reports that have been narrated concerning that, and because of 
    the general meaning of the texts which forbid imitating the disbelievers. 
    For example, in the hadeeth of Ibn ‘Umar it says that the Messenger of Allah 
    (blessings and peace of Allah be upon him) said: “Be different from the 
    mushrikeen: let your beard grow and trim the moustache.” According to 
    another report: “Trim the moustache and let the beard grow.” And there are 
    many other similar hadeeths. 

    Letting the beard grow means leaving it as it is and leaving 
    it alone, without shaving or plucking or cutting anything from it. Ibn Hazm 
    narrated that there was consensus that cutting the moustache and letting the 
    beard grow is obligatory, and he quoted as evidence a number of hadeeths 
    including the hadeeth of Ibn ‘Umar (may Allah be pleased with him) quoted 
    above, as well as the hadeeth of Zayd ibn Arqam, according to which the 
    Prophet (blessings and peace of Allah be upon him) said: “Whoever does not 
    trim anything from his moustache is not one of us.” Classed as saheeh by 
    al-Tirmidhi. In al-Furoo‘ it says: This wording, “according to our 
    companions” -- i.e., the Hanbalis -- implies that it is haraam. Shaykh 
    al-Islam Ibn Taymiyah (may Allah have mercy on him) said: The Qur’aan, 
    Sunnah and scholarly consensus indicate that it is enjoined to be different 
    from the disbelievers and it is forbidden to resemble them in general terms, 
    because resembling them on the outside leads to resembling them in 
    blameworthy attitudes and actions, and even in beliefs, as it generates love 
    and friendship on the inside; by the same token, love on the inside 
    generates resemblance of the outside. Al-Tirmidhi narrated that the 
    Messenger of Allah (blessings and peace of Allah be upon him) said: “He is 
    not one of us who resembles people other than us. Do not resemble the Jews 
    or the Christians …” According to another version: “Whoever imitates a 
    people is one of them.” this was narrated by Ahmad. And ‘Umar ibn al-Khattab 
    rejected the testimony of one who plucked his beard.  

    Imam Ibn ‘Abd al-Barr said in al-Tamheed:

    It is haraam to shave the beard, and no one does that except 
    effeminate men (mukhannathoon), i.e., those who imitate women. The Prophet 
    (blessings and peace of Allah be upon him) had a lot of hair in his beard, 
    as was narrated by Muslim from Jaabir. According to one report, he had a 
    thick beard and there is another report which is worded differently but the 
    meaning is the same. It is not permissible to remove any of it because of 
    the general meaning of the evidence which shows that doing so is forbidden.

    End quote from Fataawa al-Lajnah al-Daa’imah, 5/133. 

    Secondly: 

    The beard is the hair on the cheeks and chin. 

    Ibn Manzoor said, quoting from Ibn Sayyidihi: Lahyah (beard) 
    is a word that includes the hair that grows on the cheeks and chin. 

    End quote from Lisaan al-‘Arab, 15/243. 

    And it says in al-Qamoos al-Muheet: Lahyah (beard) is 
    the hair of the cheeks and chin. End quote. 

    So what grows beneath the eye is not part of the beard. 

    And Allah knows best.