Question

Point A represents a complex number plotted on a complex plane. Click the point that represents its complex conjugate.

Answer 1

(-4, -6)

Explanation:

On the graph, point A is located at (-4, 6), which is also -4+6. When you flip the sign over the Real axis, you get -4-6, which is the same thing as (-4,-6) on the graph.

For the first answer, their mistake was that point A is located at (-4, 6) and not (-6, 4)

Answer 2

Based on the graph, a point that represents the complex conjugate of point A is (-4 -6) in quadrant III.

In Mathematics and Geometry, the standard form of a complex number can be represented or written by using the following mathematical expression;

a + bi

where:

• a represents the real part.
• bi represents the imaginary part.

Note:
`i^2` is equal to -1 and i is equal to
`√(-1)`.

The conjugate of a + bi is a - bi.

In this context, we can separate the real and imaginary parts as follows;

a = -4 (the real part)

b = 6 (the imaginary part)

Next, we would rewritte the complex number by using its complex conjugate as follows;

(-4, 6) → (-4, -6)