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State true or false for the following. ...

State true or false for the following.
The inequality `|z - 4| lt | z-2| ` represents the region given by `x gt 3`.

A

`Re (z) gt 0 `

B

` Re (z) lt 0 `

C

`Re (z) gt 2`

D

none of these

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • abs(z - 4 ) lt abs (z - 2) represents the region given by :

    A
    Re `(z) gt 0`
    B
    Re `(z) lt 0`
    C
    Re `(z) gt 3`
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    `Re(z) gt 0`
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    `Re (z) lt 0`
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    `Im (z) gt 0`
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    A
    `"Re"(z) ge 3`
    B
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    `"Re"(z) le 3`
    D
    None of these
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