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Knowledge Check

  • 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`

  • The modulus of the complex number z such that |z+3-i|=1" and "arg z= pi is equal to

    A
    `1`
    B
    `2`
    C
    `9`
    D
    `3`

  • If the amplitude of a complex number is (pi)/(2) then the number is :

    A
    purely imaginery
    B
    purely real
    C
    `0`
    D
    neither real nor imaginary

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    Find the polar form of the complex number sqrt(3)+i .

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