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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
The conjugate of the complex number $\frac{{2 + 5i}}{{4 - 3i}}$ is
  • A
    $\frac{{7 - 26i}}{{25}}$
  • ✓
    $\frac{{ - 7 - 26i}}{{25}}$
  • C
    $\frac{{ - 7 + 26i}}{{25}}$
  • D
    $\frac{{7 + 26i}}{{25}}$
✓

Answer

Correct option: B.
$\frac{{ - 7 - 26i}}{{25}}$
b
(b) $\frac{{2 + 5i}}{{4 - 3i}} = \frac{{(2 + 5i)(4 + 3i)}}{{25}} = \frac{{ - 7 + 26i}}{{25}}$.
Therefore conjugate of the complex number is $\frac{{ - 7 - 26i}}{{25}}$.

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