Thangavelu made a leap of 1.89m, while Bhati jumped 1.86m to finish third.
India’s other medal prospect Sharad Kumar finished at number 6.
T-42 is a disability classification for differently-abled track and field athletes with single ‘above the knee’ amputations or a comparable disability.
Thangavelu became a part of the leading group after his 10th attempt when he cleared the 1.77m. He then went on to lead along with Bhati. Kumar however could not improve his performance and crashed out of medal contention.
Thangavelu was injured at age 5, when a bus accident left him with a permanent disability. Bhati was diagnosed with polio that lead to a deformity in his legs.
HN Girisha was the first Indian high-jumper to win a medal at the 2012 Paralympic Games.