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If (1 + cos theta - isin theta) ( 1+ cos...

If `(1 + cos theta - isin theta) ( 1+ cos 2 theta + isin 2 theta) = x +iy` then `x^(2) + y^(2) = `

A

`16 cos^(2) theta sin^(2) ((theta)/(2))`

B

`16 sin^(2) theta cos^(2) ((theta)/(2))`

C

`16 sin^(2) theta sin^(2) ((theta)/(2))`

D

`16 cos^(2) theta cos^(2) ((theta)/(2))`

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The correct Answer is:
D
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
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  12. If |z(1)| = |z(2)| = |z(3)| = … |z(n)| = 1 , then |z(1) + z(2) + z(3) ...

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