Question

Point A represents a complex number plotted on a complex plane. Click the point that represents its complex conjugate. PICTURE DOWN BELOW. Which red point would it be?

Answer 1

Answer:

The red point (-4 , -6)

Step-by-step 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