KCET · Maths · Complex Number
The complex number \(\frac{1+2 \mathrm{i}}{1-\mathrm{i}}\) lies in
- A second quadrant
- B third quadrant
- C fourth quadrant
- D first quadrant
Answer & Solution
Correct Answer
(A) second quadrant
Step-by-step Solution
Detailed explanation
\[
\frac{1+2 i}{1-i} \times \frac{1+i}{1+i}=\frac{-1+3 i}{2}
\]
Hence, it lies in second quadrant.
\frac{1+2 i}{1-i} \times \frac{1+i}{1+i}=\frac{-1+3 i}{2}
\]
Hence, it lies in second quadrant.
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