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The modulus and amplitude of e^((2 + i p...

The modulus and amplitude of `e^((2 + i pi/3))` is

A

`e^(2)` and `(pi)/(3)`

B

`e^(2)` and `(2 pi)/(3)`

C

`e^(sqrt(2))` and `(pi)/(3)`

D

`sqrt(e)` and `(pi)/(3)`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  9. If z(1) and z(2) are complex number and (z(1))/(z(2)) is purely imagi...

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  11. If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imag...

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  12. The complex numbers z(1), z(2), z(3) are three vertices of a parallelo...

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  13. The complex numbers 1,-1, i sqrt(3) form

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  14. If x=cis A, y=cis B, z =cis C where A, B, C are the angles of a trian...

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  15. The value of ((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8)=

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  16. If x=-1-i sqrt(3) then the value of x^(3) is

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