Complex Numbers

What is the conjugate of -2+5i?

• -5+2i
• -2-5i
• 2+5i
• 5-2i

Tags

CCSS.HSN.CN.A.3

Simplify:  (4+2i)/(3-i)

• 1-i
• 1+i
• 10+10i
• 1+10i

Tags

CCSS.HSA.APR.A.1

What complex number is represented by the graph?

• -3-i
• -3+i
• 1+3i
• 1-3i

Tags

CCSS.HSN.CN.B.4

Which are possible coordinates of the point graphed?

• (-2, 120^o)
• (-2, 60^o)
• (2, -120^o)
• (2, 60^o)

Tags

CCSS.HSN.CN.B.4

Convert the rectangular coordinate (0, -3) to polar coordinates.

• (3, -270^o)
• (3, 270^o)
• (-3, 270^o)
• Not Possible

Tags

CCSS.HSN.CN.B.4

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

Tags

CCSS.HSN.CN.B.4

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

Tags

CCSS.HSN.CN.B.4

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

• √35
• √35 i
• √37
• 5i

Tags

CCSS.HSN.CN.B.6

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

• 3, 120^o
• 5, 270^o
• 1, 150^o
• Not Possible

Tags

CCSS.HSN.CN.A.3

CCSS.HSN.CN.B.4

CCSS.HSN.CN.B.5

If z=√2+√2 i then arg(z²)=

• 0^o
• 60^o
• 90^o
• Not Possible

Tags

CCSS.HSN.CN.B.4