Answer:
The red point (-4 , -6)
Explanation:
* Lets revise the complex number
- The complex number z = a + bi, where a is the real part and b is the
imaginary part
- The real part represented by the x-axis and the imaginary part
represented by the y-axis
- The value of i is √(-1)
- The complex conjugate of a complex number is the number with an
equal real part and an imaginary part equal in magnitude but opposite
in sign
- Ex: the conjugate of a + bi is a - bi
* Lets solve the problem
∵ A is an complex number
∵ The x-coordinate of A is -4 and the y-coordinate of it is 6
∵ The x-axis is the real axis and y-axis is the imaginary axis
∴ A = -4 + 6i
∵ The conjugate numbers are equal in real part and the imaginary
part equal in magnitude and different in sign
∴ The conjugate of A = -4 - 6i
- From the graph The red point (-4 , -6) represents the complex
conjugate of point A