Question

find modulus and amplitude of 1+2i/1-3i

Answer 1

Answer:

Given that: 1−(1−i)21+2i

=1−(1−2i−1)1+2i

=1−(−2i)1+2i

=1+2i1+2i 

=1

=ei0

Hence modulus is 1 while amplitude is 0.

Answer 2

Answer:

Modules of Z = 1/√2

Step-by-step explanation:

{I know only of modulus}

Complex number z is of form of the x+ iy

Here x= -1/2 and y= 1/2

modulus of Z = |Z|

= √ x^2 + y^2

= √ (-1/2)^2 + (1/2)^2

= 1/4 + 1/4

= √ 2/4

= √ 1/2

= 1/√2

Modulus of Z = 1/√2