Check the picture below.
recall that on the imaginary plane, the y-axis is the imaginary axis.
-5 -5i is simply the rectangular (-5, -5).
The quadrant in which -5-5i will lie is:
Third quadrant.
We are given a complex number as:
[tex]-5-5i[/tex]
We know that the complex number of the form:
[tex]a+ib[/tex] is represented in the Cartesian plane by the point or the coordinate as: (a,b)
Here by looking at the complex number we get the point on the Cartesian plane as: (-5,-5)
Now, we know that :
In First quadrant: Both the first and the second coordinate are positive.
In Second quadrant: First coordinate is negative whereas second is positive.
In Third quadrant: Both are negative.
In Fourth quadrant: First is positive and second is negative.
Hence, we get that the given complex number will lie in the third quadrant.
( Since, both the coordinate are negative)
