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The ascending order of the moduli of the...

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

A

`z_1,z_2,z_3,z_4`

B

`z_4,z_2,z_1,z_3`

C

`z_3,z_1,z_2,z_4`

D

`z_4,z_3,z_2,z_1`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The descending order of the principal values of arguments of the complex numbers z_(1) = 1 + i , z_(2) = -sqrt3 + i, z_(3) = 1 + sqrt3 i , z_(4) = 1 - i is

    A
    `z_(3) , z_(2) , z_(1) , z_(4)`
    B
    `z_(2) , z_(3) , z_(1) , z_(4)`
    C
    `z_(3) , z_(1) , z_(2) , z_(4)`
    D
    `z_(4) , z_(1) , z_(3) , z_(2)`

  • The descending order of the moduli of z_(1) = (3 - 4i) (4 + 3i) , z_(2) = (3 + 4i)/(1 +i) , z_(3) = ((3 + i) (2- i))/(1+ i) , z_(4) = 5 + 12 i is

    A
    `z_(1) , z_(4) , z_(3) , z_(2)`
    B
    `z_(4) , z_(2) , z_(1) z_(3)`
    C
    `z_(3) , z_(1) , z_(2) , z_(4)`
    D
    `z_(4) , z_(3) , z_(2) , z_(1)`

  • 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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    If alpha_1,alpha_2,alpha_3 respectively denote the moduli of the complex number -i,1/3(1+i) and -1 +i , then their increasing order is

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