Question

Which complex number does NOT fall within the shaded region in this graph?

-2i
2 − 

i
-2 + 3i
1 −  i
-2 − 3 i

Answer 1

Answer: B is the correct answer

Explanation:

Answer 2

2-i does not fall within the shaded region.

B is correct

Explanation:

We are given a graph on complex plane. We need to choose the points which are not within shaded region.

We will plot each point and then see which are outside the shaded region.

Please see the attachment for plotting point.

I Point: -2i, In coordinate form (0,-2)

II Point: 2-i, In coordinate form (2,-1)

III Point: -2+3i, In coordinate form (-2,3)

IV Point: 1-i, In coordinate form (1,-1)

V Point: -2-3i, In coordinate form (-2,-3)

Now, we will plot the points on graph and check position.

In graph we can see (2,-1) lie outside the shaded area.

Hence, 2-i does not fall within the shaded region.