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If Z= ((sqrt3 +1)^(3) (3i + 4)^(2))/((8+...

If `Z= ((sqrt3 +1)^(3) (3i + 4)^(2))/((8+ 6i)^(2))` then |Z| is equal to

A

3

B

2

C

1

D

0

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If z = ((sqrt(3)+i)^(3)(3i+4)^(2))/((8+6i)^(2)) , then |z| is equal to

    A
    1
    B
    3
    C
    0
    D
    2

  • If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=

    A
    `(5 pi)/(6)`
    B
    `-(pi)/(6)`
    C
    `(pi)/(6)`
    D
    `(7 pi)/(6)`

  • (sqrt(3)+i)^(6)+(sqrt(3)-i)^(6)=

    A
    `2^(6)`
    B
    0
    C
    -1
    D
    `2^(5)`

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