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i think absolute addressing mode because it does not need any addition for address calculation.

Register addressing mode are the fastest because you dont incur the larger instruction, extra cycles, more of the cache line burned for instruction

In Relative addressing mode, offset is mentioned in the instruction. In high level language, if else while generates jump instruction and they are relatively small in size. So, offset tends to be small and may fit is same page in some case. So, it is faster. In absolute address, processor needs to calculate relative distance which cause extra cycle.

Moreover, relative addressing allows position independent code, absolute addressing not.

In Relative addressing mode, offset is mentioned in the instruction. In high level language, if else while generates jump instruction and they are relatively small in size. So, offset tends to be small and may fit is same page in some case. So, it is faster. In absolute address, processor needs to calculate relative distance which cause extra cycle.

Moreover, relative addressing allows position independent code, absolute addressing not.