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The value of ((i+ sqrt 3)/2)^100+((i-sqr...

The value of `((i+ sqrt 3)/2)^100+((i-sqrt3)/2)^100` is :

A

0

B

`1//2`

C

`sqrt( 3)`

D

1

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The correct Answer is:
A
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PUNEET DOGRA-COMPLEX NUMBER-PREVIOUS YEAR QUESTIONS
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  2. If Re ((z-1)/(z+1)) =0 where z= x+iy is a complex number, then which o...

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  3. The value of ((i+ sqrt 3)/2)^100+((i-sqrt3)/2)^100 is :

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  4. What is the number of distinct solutions of the equation z^(2) + |z| =...

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  5. What is omega^(100) + omega^(200) + omega^(300) equal to, where omega ...

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  6. Let z(1), z(2) and z(3) be non zero complex numbers satisfying z^(2) +...

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  7. Let z(1), z(2) and z(3) be non zero complex numbers satisfying z^(2) +...

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  8. Let Z be a complex number satisfying | ( z-4)/( z-8)| =1 and | (z)/( ...

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  9. Let Z be a complex number satisfying | ( z-4)/( z-8)| =1 and | (z)/( ...

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  10. Suppose omega is a cube root of unity with omega cancel(=)1. Suppose...

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  11. Suppose omega(1) and omega(2) are two distinct cube roots of unity dif...

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  12. If z= x+ iy = ((1)/( sqrt( 2)) - ( i)/( sqrt( 2)))^(-25) , where i = s...

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  13. If z(1) and z(2) are complex numbers with | z(1)| = | z(2) |, then whi...

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  14. If the point z(1) = 1+ i, where i = sqrt( -1) is the reflection of a p...

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  15. zbar(z) + ( 3-i) z+ ( 3+i) bar(z) + 1 =0 represent a circle with

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  16. If 1, omega and omega^(2) are the cube roots of unity, then the value ...

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  17. If z = ( -2 ( 1+ 2i))/( ( 3+i)), where i = sqrt( -1), then the argumen...

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  18. What is the square root of i, where, i = sqrt( -1) ?

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  19. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

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  20. (x^(3)-1) can be factorized as Where omega is one of the cube roots...

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