Question

What quadrant does -5-5i lie in?

Answer 1

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).

Answer 2

The quadrant in which -5-5i will lie is:

Third quadrant.

Explanation:

We are given a complex number as:

`-5-5i`

We know that the complex number of the form:

`a+ib` 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)