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`z=x+iy` and `w=(1-iz)/(1+iz)` and `|w|=1` ,prove that z is purely real

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

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  4. Let ...

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  7. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 ...

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  10. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

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  11. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

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  12. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

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  13. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

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