Concepts in Complex Numbers

What is the modulus of a complex number?

• List of numerical values created when dealing with irrational and rational numbers

• the distance between the point of origin (0,0) and the point (a,b) on the complex plane

• area of an angle on a complex plane from r=θ

• number chosen when completing scale evaluation of angle x and y

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

z\,\, z_{1_{ } }and\, z_2\, are complex number , then\,\left|\frac{z_1}{z_2}\right|=\frac{\left|z_1\right|}{\left|z_2\right|}\, ,\, z_2\ne0

• False

• True

When a complex number is drawn on the complex plane. The distance from the origin is the value of

• the argument

• The modulus

• The real co-efficient

• The imaginary co-efficient

Refer to the above image, what is the conjugate of the denominator?

• 8 + 6i

• 6 + 8i

• 6 - 8i

• -6 +8i

Find the magnitude of z = - 4 + 2i

• -2

• 1

• 2

• sqrt3

What is the argument of the complex number -4 + 2i.

Suppose that 2 and (1 + √3i) are consecutive roots of z. Then the modulus of z is 2.

• TRUE

• FALSE

• cannot be determined