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The real value of theta for which the ex...

The real value of `theta` for which the expression `(1 + icos theta)/(1 - 2i cos theta)` is real number is

A

`n pi + ( pi )/( 4)`

B

`n pi + ( -1)^(n) "" ( pi )/( 4)`

C

`2npi +- ( pi )/( 4)`

D

None of these

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The correct Answer is:
D
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PUNEET DOGRA-COMPLEX NUMBER-PREVIOUS YEAR QUESTIONS
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  5. Roots of the equation x^(2017) + x^(2018) +1=0 are

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  6. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

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  7. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

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  14. What is i^(1000) + i^(1001) + i^(1002)+i^(1003) is equal to ( where i ...

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  15. The modulus-argument form of sqrt( 3) + i, where i = sqrt( -1) is

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  16. What is the value of the sum sum(n=2)^(11) ( i^(n) + i^(n+1)), where i...

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  17. The smallest positive integer n for which ((1+i)/( 1-i))^(n) =1, is :

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  18. If | z - ( 4)/( z)| =2, then the maximum value o f |z| is equal to :

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  19. The value of i^(2n) + i^(2n+1) + i^(2n+2) + i^(2n+3), where i = sqrt( ...

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  20. The value of ((-1+isqrt( 3))/(2))^(n) + (( -1-isqrt(3))/(2))^(n) where...

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  21. If 1, omega, omega^(2) are the cube roots of unity, then ( 1+ omega) (...

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