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The ascending order of the values of ...

The ascending order of the values of
`z_1=(1+i)^4,z_2=(sqrt3+i)^(12),z_3=(1+isqrt3)^(9) + (1-isqrt3)^9`

A

`z_(1),z_(2),z_(3)`

B

`z_(2),z_(3),z_(1)`

C

`z_(3),z_(1),z_(2)`

D

`z_(1),z_(3),z_(2)`

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Knowledge Check

  • The ascending order of the values of z_1(1+i)^4+(1-i)^4, z_2=(sqrt3+i)^(12)+(sqrt3-i)^(12), z_3=(1+isqrt3)^(9)+(1-isqrt3)^9

    A
    `z_1,z_2,z_3`
    B
    `z_2,z_3,z_1`
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    D
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  • The descending order of the values of z_1=((sqrt3)/(2)i+1/2)^6,z_2=((1)/(sqrt2)+(i)/(sqrt2))^4,z_3=((sqrt3)/(4)+(i)/(4))^6

    A
    `z_1,z_2,z_3`
    B
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  • The ascending order of the moduli of the complex numbers z_1=1 +I,z_2=1 +2i,z_3=(1-i)/(sqrt(2)),z_4=3+4i is

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    B
    `z_4,z_2,z_1,z_3`
    C
    `z_3,z_1,z_2,z_4`
    D
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