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If z= ((sqrt(3) + i)^(3) (3i+4)^(2))/((8...

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

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If z = (1)/((2 + 3i)^(2)) then |z| =

    A
    `(1)/(13)`
    B
    `(1)/(5)`
    C
    `(1)/(12)`
    D
    none of these

  • If z=(-1)/(2)+i(sqrt(3))/(2), " then "8+10z+7z^(2) is equal to

    A
    `(-1)/(1)-i(sqrt(3))/(2)`
    B
    `(1)/(2)+i(sqrt(3))/(2)`
    C
    `(-1)/(2)+i(3sqrt(3))/(2)`
    D
    `(sqrt(3))/(2)i`

  • If (sqrt(5)+sqrt(3)i)^(33)= 2^(49)z , then modulus of the complex number z is equal to

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

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