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The number of complex number z satisfyin...

The number of complex number z satisfying `abs(z-(4+3i))=2 and absz +abs(z-4) =6` is

A

0

B

1

C

2

D

3

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Knowledge Check

  • The number of complex numbers satisfying (1 + i)z = i|z|

    A
    0
    B
    1
    C
    2
    D
    infinite

  • Let z_(1) = 2 + 3i and z_(2) = 3 + 4i be two points on the complex plane. Then the set of complex numbers z satisfying abs(z - z_(1))^(2) + (z - z_(2))^(2) = (z_(1) - z_(2))^(2) represents

    A
    a straight line
    B
    a point
    C
    a circle
    D
    a pair of straight lines

  • The complex number z satisfying the equation abs(z-1)=abs(z+1)=1 is

    A
    0
    B
    1+i
    C
    `-1+i`
    D
    `1-i`

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