Symmetry of the Hessian under regularity conditions — IITM BS previous year questions

Symmetry of the Hessian under regularity conditions is part of Hessian Matrix, Week 11 in Mathematics 2. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.