NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Complex Conjugates

## Interactive practice questions

If $a$a and $b$b are real numbers, then any number of the form $a+bi$a+bi is:

An irrational number

A

An imaginary number

B

A complex number

C

A real number

D

An irrational number

A

An imaginary number

B

A complex number

C

A real number

D
Easy
Less than a minute

The numbers $3+4i$3+4i and $3-4i$34i, which differ only in the sign of the imaginary parts, are called:

The product of a complex number and its conjugate is always:

To find the quotient of two complex numbers in standard form, we have to multiply both the numerator and denominator by the complex conjugate of the:

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems