Question

Write a complex number that lies above the real axis and to the left of the imaginary axis. Then write a complex number that lies below the real axis and to the right of the imaginary axis.

Answer 1

1) x + iy = -3 + 2 i

2) x + iy = 3 - 2 i

Explanation:

General form = x + iy

Real axis = x axis

Imaginary axis = y axis

1 ) Write a complex number that lies above the real axis and to the left of the imaginary axis.

Lies above the real axis ( y is positive)

Left of the imaginary axis( x is negative)

x + iy = -3 + 2 i

2 ) Write a complex number that lies below the real axis and to the right of the imaginary axis

Lies below the real axis ( y is negative)

Right of the imaginary axis( x is positive)

x + iy = 3 - 2 i

Answer 2

1) A complex number that lies above the real axis and to the left of the imaginary axis

- 3 + 2i

2) A complex number that lies below the real axis and to the right of the imaginary axis

3 -2i