In the complex plane, the point corresponding to the complex number is located in
Pick one
Solutions — 2
Solution 1
Analysis
We will simplify the complex number by using the algebraic form of complex number multiplication and division to find the coordinates of the point. This problem tests the basic concepts of complex numbers and their multiplication and division, making it a fundamental question.
Step-by-step Solution
1. Simplify the given complex number:
2. Identify the coordinates of the complex number:
The real part of the complex number is , and the imaginary part is . So, the coordinates of the corresponding point in the complex plane are .
3. Determine the quadrant:
Since the x-coordinate is negative, and the y-coordinate is positive, the point lies in the second quadrant.
Hence, the correct answer is: .
Solution 2
Solution: The complex number equals equals . The corresponding point is located in the second quadrant.
Therefore, the answer is: .
This problem tests the operation rules of complex numbers and their geometric meanings, focusing on computational ability. It is a basic question.