Single Choice

If $$x = 9^{1/3} 9^{1/9} 9^{1/27} .... \infty\ \ ,\ y = 4^{1/3} 4^{-1/ 9}4^{1/27} .... \infty$$ and $$z = \displaystyle \sum_{r = 1}^{\infty} (1 + i)^{-r}$$, then $$arg (x + yz)$$ is equal to

A$$0$$
B$$\pi -\tan^{-1} \left (\dfrac {\sqrt {2}}{3}\right )$$
C$$-\tan^{-1}\left (\dfrac {\sqrt {2}}{3}\right )$$
Correct Answer
D$$-\tan^{-1}\left (\dfrac {2}{\sqrt {3}}\right )$$

Solution

SIMILAR QUESTIONS

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