Point Q, with coordinates (4, -3), correctly represents the complex number 4-3i on the complex plane, where the x-coordinate is the real part, and the y-coordinate is the imaginary part.
The point Q represents the number 4-3i on the complex plane. The real part of 4-3i is 4, which is represented by the x-coordinate of point Q. The imaginary part of 4-3i is -3, which is represented by the y-coordinate of point Q. Therefore, the point Q is the correct answer.
Here's a more detailed explanation:
1. The real part of a complex number is denoted by a, and the imaginary part is denoted by bi, where b is an integer. For example, the complex number 4-3i has a real part of 4 and an imaginary part of -3.
2. The complex plane is a graphical representation of all complex numbers. The horizontal axis is the real axis, and the vertical axis is the imaginary axis. Each point on the complex plane corresponds to a unique complex number.
3. The x-coordinate of a point on the complex plane represents the real part of the complex number, and the y-coordinate represents the imaginary part.
4. The point Q has an x-coordinate of 4, which matches the real part of 4-3i. It also has a y-coordinate of -3, which matches the imaginary part of 4-3i. Therefore, point Q is the representation of the complex number 4-3i on the complex plane.
Que. Which of the following points represents the number 4-3i on the complex plane?
a) Q
b) R
c) S
d) T