Question

Point A is shown on the complex plane.What is the standard form of the complex number that point A represents?

Answer 1

Hello there. To solve this question, we have to remember some properties about the representation of a complex number in the complex or Argand-Gauss plane.

Given the complex plane with the point A representing a complex number:

We have to remember that in the complex plane, a complex number z:

`z=a+ib`

has coordinates

`(a,\,b)`

And it is more commonly represented by a vector starting at the origin and with the tip on this point.

In this case, we find that the coordinates of the point A are:

`A=(-5,\,3)`

Which means that the complex number is

`-5+3i`

And this is the answer contained in the last option.