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If complex number z(zne2) satisfies the ...

If complex number `z(zne2)` satisfies the equation `z^(2)=4z+|z|^(2)+(16)/(|z|^(3))`, then what is the value of `|z|^(4)` ?

A

1

B

2

C

4

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If a complex number z satisfies |z|^(2)+(4)/(|z|)^(2)-2((z)/(barz)+(barz)/(z))-16=0 , then the maximum value of |z| is

    A
    `sqrt(6)+1`
    B
    `4`
    C
    `2+sqrt(6)`
    D
    `6`

  • If z_(1) ,z_(2) be two complex numbers satisfying the equation |(z_(1)+z_(2))/(z_(1)-z_(2))|=1 , then

    A
    `z_(1)barz_()+z_(2)barz_(1)=1`
    B
    ` (barz_(1)/( barz_(2))) = - z_(1)/z_(2)`
    C
    `z_(1)barz_(2) +z_(2)barz_(1)=0`
    D
    `Re(z_(1)barz_(2))=0`

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