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4.1 complex nubers — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.1 complex nubers1 Mark
MCQ
The inequality $|z - 4|\, < \,|\,z - 2|$represents the region given by
  • A
    ${\mathop{\rm Re}\nolimits} (z) > 0$
  • B
    ${\mathop{\rm Re}\nolimits} (z) < 0$
  • C
    ${\mathop{\rm Re}\nolimits} (z) > 2$
  • ✓
    None of these
✓

Answer

Correct option: D.
None of these
d
(d) Given inequality $|z - 4|\, < \,|z - 2|$
$ \Rightarrow $ $|z - 4{|^2} < \,|z - 2{|^2} \Rightarrow {(x - 4)^2} + {y^2} < {(x - 2)^2} + {y^2}$
==> $4x > 12 \Rightarrow {\mathop{\rm Re}\nolimits} (z) > 3$.

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