If the complex number a is such that |a|=1, and \arg (a)=\\theta then the roots of the equation ( \frac{1+i z}{1-i z} )^{4}=a are z=

Correct Answer is : tan(2kπ+θ8),k=0,1,2,3

\tan ( \frac{2 k \\pi+\\theta}{4} ), k=0,1,2,3

\tan ( \frac{k \\pi+\\theta}{8} ), k=0,1,2,3

\tan ( \frac{3 k \\pi+\\theta}{4} ), k=0,1,2,3

\tan ( \frac{2 k \\pi+\\theta}{8} ), k=0,1,2,3

TS EAMCET 5 May 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 10 of 160

Marks: +1, -0

If the complex number a is such that |a|=1, and arg(a)=θ then the roots of the equation (

1+iz

1−iz

)4=a are z=

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