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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers2 Marks
MCQ
Complex number $\frac{5-2 i}{3-4 i}-\frac{3+21}{3+4 i}$ can be written in a $+i b$ form as
  • A
    $0$
  • B
    $\left(\frac{28}{25}\right)+i$
  • ✓
    $0+\left(\frac{28}{25}\right) i$
  • D
    $\left(\frac{28}{25}\right)$
✓

Answer

Correct option: C.
$0+\left(\frac{28}{25}\right) i$
(C)
$\frac{5-2 i}{3-4 i}-\frac{5+2 i}{3+4 i}=\frac{(5-2 i)(3+4 i)-(3-4 i)(5+2 i)}{(3-4 i)(3+4 i)}$
$=\frac{28 i }{25}$
$=0+\left(\frac{28}{25}\right) i$

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