Let us answer for each addressing mode one by one :
a) Direct addressing mode :
In this case , the address field of the instruction will give E.A ..So E.A. = 10
b) Register direct mode :
In this the name of the register will itself the effective address which gives the name of register which is to be found from the register file..Hence in this case E.A. = R10(name of the register)
c) Register indirect mode :
In this case the content of the register will give us the effective address where the actual data is present in the memory..So the effective address in this case = Content of register R10 = 210
d) Indexed mode :
Here the effective address is calculated by adding the content of the address field of the instruction which u can say the base address to the content of the index register which works as an offset..
So effective address here = Base address + Index register value
= Address field value of instruction + Index register (which is also given as R10) value
= 10 + 210
= 220
e) Relative addressing :
For this the knowledge of PC or base register is necessary hence cannot conclude here.