Hello Singh Y Amitesh,
Yes definitely you are eligible for llb bhu course. As you need to appear for the Undergraduate Entrance Exam (UET) for llb course.
Here I am listing down the whole eligibilty criteria according to which you are eligible. Go through it carefully and abide by it.

MINIMUM ELIGIBILITY REQUIREMENTS :

 (i) Candidates appearing in the Final Year of the Qualifying Examination may also apply and appear in the Test. However, the candidate will be required to produce the original marksheet of the qualifying examination at the time of counseling for getting admission. Further, the candidates who are called for counseling for provisional admission in a course, but their results of the qualifying examinations are not declared till the date of their counseling, may be allowed to take conditional admission in the course provided: 

(a) They produce a certificate from the competent authority (such as Controller of Examination, Registrar etc.) to the effect that the result of the concerned qualifying examination has not yet been declared. 

(b) It is evident from the mark sheets(s) of the previous examination(s) relating to the course of qualifying degree that the candidate has secured at least stipulated minimum percentage of aggregate marks (for example 50%) in the previous examination(s) (except final examination whose result has not been declared upto time of counseling) of the qualifying degree (This will not be necessary for SC/ST candidates).

 (c) The candidate gives an undertaking that he/she will submit the mark sheet of the qualifying examination on or before 14th August of the admission year and if he/she fails to submit the original mark sheet on or before 14th August of the admission year, his/her conditional admission in the course shall automatically stand cancelled and the candidatewill not claim for refund of fees paid for conditional admission.
(This date is mentioned in ug course pdf uploaded by the university. And if any problem arises you can have a talk with concerned authorities about it.)

Just don't worry and study hard.

I hope this helps you.

All the best !!