Complex Plane

Write the complex number in polar form

• √50 (cos π/2 + i sin π/2)

• 50 (cos π/4 + i sin π/4)

• √50 (cos 5π/4 + i sin 5π/4)

• √50 (cos π/4 + i sin π/4)

• k = 1, 2, 3, 4, 5 and 6

• k = 6

• k = 0, 1, 2, 3, 4 ,5

A line segment in the complex plane has endpoints 9 - i and 9 + 8i. Find its midpoint.

Write your answer in the form a + bi. Simplify all fractions.

Answer explanation

9+7i/2

A line segment in the complex plane has endpoints -7 + 5i and 5 - 10i. Find its midpoint.

Write your answer in the form a + bi. Simplify all fractions.

Answer explanation

-1-5i/2

Find the absolute value of the complex number. Also state what quadrant the point would land in.

• √10, Quadrant 2

• √8, Quadrant 3

• √11, Quadrant 1

• √5, Quadrant 4

√-81

• 9i

• 81i

• -9

• -9i

Simplify:
√-108

• 3i√6

• 3i√20

• 6i√3

• 20i√3

i⁶⁶

• 1

• i

• -1

• -i

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i

• √13,  Quadrant 1

• √5,  Quadrant 1

• √11, Quadrant 2

• √11, Quadrant 3