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STD 11 - 4.1 complex nubers — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 4.1 complex nubers4 Marks
MCQ
If ${z_1},{z_2} \in C$, then $amp\,\left( {\frac{{{{\rm{z}}_{\rm{1}}}}}{{{{{\rm{\bar z}}}_{\rm{2}}}}}} \right) = $
  • A
    $amp\,({z_1}{\overline z _2})$
  • B
    $amp\,({\overline z _1}{z_2})$
  • ✓
    $amp\,\left( {\frac{{{z_2}}}{{{{\bar z}_1}}}} \right)$
  • D
    $amp\,\left( {\frac{{{z_1}}}{{{z_2}}}} \right)$
✓

Answer

Correct option: C.
$amp\,\left( {\frac{{{z_2}}}{{{{\bar z}_1}}}} \right)$
c
(c) $arg\left( {\frac{{{z_1}}}{{{{\bar z}_2}}}} \right) = arg\,{z_1} - arg\,({\overline z _2}) = arg\,{z_1} + arg\,{z_2}$$ = arg({z_1}.{z_2})$
Option $(c) $ gives the same result.

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