Complex Plane Complex Numbers

Simplify:  (4+2i)/(3-i)

• 1-i

• 1+i

• 10+10i

• 1+10i

The distance between z=4-3i and w=-2-4i on the complex plane is...

• √35

• √35 i

• √37

• 5i

Let w=-√3/2 + 1/2 i calculate the modulus and argument.

• 3, 120^o

• 5, 270^o

• 1, 150^o

• Not Possible

What is the conjugate of -2+5i?

• -5+2i

• -2-5i

• 2+5i

• 5-2i

The rectangular form of the complex number 12(cos315^o + i sin315^o) is...

• 6√2 + 6√2 i

• 6√2 - 6√2 i

• -6√2 + 6√2 i

• -6√2 - 6√2 i

The product of the following complex number in polar form √5(cos130^o + i sin130^o) ⋅ √45(cos15^o + i sin15^o) is...

• 50(cos145^o + i sin145^o)

• 15(cos145^o + i sin145^o)

• 81(cos100^o + i sin100^o)

• All Options are Correct

If z=√2+√2 i then arg(z²)=

• 0^o

• 60^o

• 90^o

• Not Possible

Which are possible coordinates of the point graphed?

• (-2, 120^o)

• (-2, 60^o)

• (2, -120^o)

• (2, 60^o)

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

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

• √10, Quadrant 2

• √10, Quadrant 3

• 2, Quadrant 2

• 3, Quadrant 3