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Find the modulus and argument of the com...

Find the modulus and argument of the complex number `(1+2i)/(1-3i)`

Text Solution

Verified by Experts

The correct Answer is:
`1/sqrt(2), (3pi)/4`
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Knowledge Check

  • The complex number (1 + 2i)/(1 - i) lies in the

    A
    `1^(st)` quadrant
    B
    `2^(nd)` quadrant
    C
    `3^(rd)` quadrant
    D
    `4^(th)` quadrant

  • The conjugate complex number of (2-i)/((1-2i)^2) is

    A
    `2/25+11/25i`
    B
    `2/25-11/25i`
    C
    `-2/25+11/25i`
    D
    `-2/25-11/25i`

  • 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)`

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    Find the multiplicative invers of each of the complex number 4-3i

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