Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers2 Marks
MCQ
Amplitude of $\frac{1+ i }{1- i }$ is
A
$-\frac{\pi}{2}$
✓
$\frac{\pi}{2}$
C
$0$
D
$\pi$
✓
Answer
Correct option: B.
$\frac{\pi}{2}$
(B) $\frac{1+ i }{1- i }=\frac{1+ i }{1- i } \cdot \frac{1+ i }{1+ i }= i =\cos \frac{\pi}{2}+ i \sin \frac{\pi}{2}$ Hence, amplitude is $\frac{\pi}{2}$
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