Question

w = z/z then Iwl is equal to​

Answer 1

Answer:

∣w∣=1

w=

z−

3i

1

z

=

z+

3

i

z

Taking modulus on both sides, we get

∣w∣=

∣

∣

∣

∣

∣

∣

z+

3

i

z

∣

∣

∣

∣

∣

∣

⇒∣z∣=

∣

∣

∣

∣

∣

z+

3

i

∣

∣

∣

∣

∣

...{ ∵∣w∣=1}

Substituting z=x+iy, we get

6y+1=0

Therefore, locus of z is a straight line