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If the argument of a complex number Z - ...

If the argument of a complex number Z - 2 - 3i is`pi/4`then the locus of z = x + iy is

A

a)x + y + 1 = 0

B

b)x - y + 1 = 0

C

c)x + y = 1

D

d)x - y = 1

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Knowledge Check

  • The argument of the complex number z = 2i is

    A
    `pi`
    B
    `(pi)/(2)`
    C
    `(pi)/(3)`
    D
    `(pi)/(6)`

  • If the amplitude of (z-2 -3i) is pi/4, then the locus of z=x +iy is -

    A
    `x+y -1=0`
    B
    `x-y-1=0`
    C
    `x+y+1=0`
    D
    `x-y+1=0`

  • The argument of the complex number z=1 + i tan ""(3pi)/(5) is-

    A
    `-(2pi)/(5)`
    B
    `(3pi)/(5)`
    C
    `(2pi)/(5)`
    D
    `-(3pi)/(5)`

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    Find the modulus of the complex number z=4-i

    Find the modulus of the complex number z=4+3i

    if amp (z-1)/(z+1)=pi/3 , then the locus of z is

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