Question:
The complex number $\frac {1+2i}{1-i}$ lies in
The complex number $\frac {1+2i}{1-i}$ lies in
Updated On: Apr 18, 2024
- first quadrant
- second quadrant
- third quadrant
- fourth quadrant
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The Correct Option is B
Solution and Explanation
$\frac{1+2 i}{1-i} \times \frac{1+i}{1+i}=\frac{-1+3 i}{2}$
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Concepts Used:
Complex Number
A Complex Number is written in the form
a + ib
where,
- “a” is a real number
- “b” is an imaginary number
The Complex Number consists of a symbol “i” which satisfies the condition i^2 = −1. Complex Numbers are mentioned as the extension of one-dimensional number lines. In a complex plane, a Complex Number indicated as a + bi is usually represented in the form of the point (a, b). We have to pay attention that a Complex Number with absolutely no real part, such as – i, -5i, etc, is called purely imaginary. Also, a Complex Number with perfectly no imaginary part is known as a real number.