Question

Which complex number will be plotted below the real axis and to the right of the imaginary axis?
2i − 5
4 − i
5 + i
-5i
-2 − i

Answer 1

The correct answer is, 4 - i

Answer 2

Answer:  The correct answer is (B) $(4-i).$

Step-by-step explanation:  We are given to select the correct complex number that will be plotted below the real axis and to the right of the imaginary axis.

We know that a complex number can be treated as a point in XY-coordinate plane as X-axis is the real axis and Y-axis as the imaginary axis.

That is, x + iy = (x, y).

Therefore, the given points and the corresponding quadrants can be written as

2i - 5 = (-5, 2)        Quadrant II

4 - i = (4, -1)           Quadrant IV

5 + i = (5, 1)           Quadrant I

-5i   = (0, -5)          Y-axis

-2 - i = (-2, -1)        Quadrant III.

Now, the quadrant that lies below the X (real) axis and to the right of Y (imaginary) axis is Quadrant IV.

So, the correct complex number that will be plotted below the real axis and to the right of the imaginary axis is $(4 - i).$

Option (B) is CORRECT.