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If x=9^(1/3) 9^(1/9) 9^(1/27) ......and...

If `x=9^(1/3) 9^(1/9) 9^(1/27) ......and` if `y= 4^(1/3) 4^(-1/9) 4^(1/27) ...... and` if `z= sum_(r=1)^oo (1+i)^-r` then , the argument of the complex number `w = x+yz` is

A

0

B

`-tan^(-1)(sqrt(2)/(3))`

C

`-tan^(-1)((2)/sqrt(3))`

D

`pi-tan^(-1)(sqrt(2)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
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