If 
prove that x2 + y2 = 1
Given:
⇒ 
We know that for a complex number Z=a+ib it’s magnitude is given by 
We know that 
is 
Applying Modulus on both sides we get,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Squaring on both sides
⇒ 
⇒ x2+y2=1
∴ Thus Proved.
8
If prove that x2 + y2 = 1
Given:
⇒
We know that for a complex number Z=a+ib it’s magnitude is given by
We know that is
Applying Modulus on both sides we get,
⇒
⇒
⇒
⇒
⇒
Squaring on both sides
⇒
⇒ x2+y2=1
∴ Thus Proved.