Question

guys solve this.....​

Answer 1

The value of |z1| will be the length of hypotenus of this triangle.....

This triangle is considered on the basis to make arg(height/base)

now to take out the hypotenus ,,let us find the value of other two sides

the length of one side which is z1-z/|z|=3

length of other side=z/|z|-0

we know if we apply mod on |z| the result will be same |z|

so here applying mod on num. and denominator we get |z|/|z|=1

hence lenth of another side=1-0=1

using Pythagoras theeorem we get

hypentenus={(1)^2+3^2}^1/2=√10

this will be the value of |z1|

Answer 2

A right angled ∆ will be formed.

Rest of the answer is in the given attachment.

hope it correct (•‿•)