Bhai ooper walay Bhai nay logic sahi likha hai... Tyre bursts are usually due to underinflated tyres not over inflated. The faster you need to drive, the stiffer the tyre sidewall needs to be to reduce heat generated from the constant flexing unflexing of the sidewall.
For proper braking, tyre should have the right amount of pressure..too low and the contact patch would reduce as the middle of the tyre won't touch the ground properly. ..too high and the contact patch would be small as ell as the sides won't be touching..the tyre would be like a balloon