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I have been in Lovely Professional University so I can vouch on their practices that they are implementing and I have witnessed their effort for students and management working hard for placement and imparting quality teaching. Here are few highlights:
The eligibility criteria at LPU is Pass with 60% aggregate marks in 10+2 (with Physics, Mathematics and English) or equivalent, subject to qualifying LPU NEST or In case student scored more than or equal to 90% in 10+2, or 90 percentile in JEE Mains, then LPU NEST will be exempted and candidate may apply for admission. LPU is a well renowned university, providing quality education, innovative pedagogy and unbeatable placements both national and international. LPU provides a great academic exposure to its students. It provides a chance to the students to attend guest lectures or workshops, so that they get to learn as much as they can. The students also work on live projects, so that they are able to apply their knowledge to practical settings. It is one of the few that has embraced international practices when it comes to designing a curriculum. Instead of using old school books and lectures, LPU has experimented with books, interactive problem-solving interactions and working through real-world applications. The university has been ranked high by various outer agencies with regard to placements. LPU is conferred with National Employ-ability Award 2020 by Aspiring Minds for the 7th time in a row for having Most Employable Students and being one among the top colleges and universities in India with one of the highest Employ-ability rates. The university provides ample opportunities to each and every of the eligible students to secure good placement. Special inputs in the form of placement classes are given to students to hone their skills and prepare them for placements. The university leaves no stone unturned to shape the future of its students. It is definitely the first choice of both national and international students. LPU has become the landing place of many leading industries for recruitment. It has many top rankings in placements.

Hello!
You need not to worry at all, JEE is not just the final destination it is just the pathway. You can have a look over other options to get into engineering. You made me recall my days, I too had almost similar situation. I have done my engineering from Lovely Professional University. Have a look over Lovely Professional University. Few of the major features that make LPU stand high from others are :
#the highest Number of Placements in Top MNCs (Microsoft, Amazon, Cognizant, IBM, etc. )
#the highest Number of In-house Industry-Sponsored Labs for Hands-on Exposure (Microsoft Innovation Centre, SAP, Oracle, IBM Software Lab, Virtusa Robotics & Automation Center, HP Center of Excellence & many more)
#Guidance by Professionally Trained Faculty & Industry Experts via use of the latest Teaching Aids and Live Projects
#Flexible Academic Model with Choice Based Credit System
#Industry-led Course Curriculum designed after taking inputs from industry experts and academic leaders, and match the standards defined by national and international accreditation bodies
#Research, Innovation & Industrial Consultancy as a part of the curriculum
#400+ Research Publications in Reputed Journals/Conferences
#Regular Workshops & Seminars by the Industry Experts
#Dedicated Technical Clubs to enhance practical knowledge of the students
#Well Qualified and experienced faculty members. #National and international Accreditation with ranking among Top Universities by NIRF. There is lot more at LPU. I hope this helps. All the Best!