The Total solution for NCERT class 6-12
If x + iy = (a+ib)/(a-ib), prove that x2 + y2 =1
Given:
x + iy = (a+ib)/(a-ib)
We know that for acomplex number Z = (a+ib) it’s magnitude is given by |z| = √(a2 + b2)
So,
|a/b| is |a| / |b|
Applying Modulus onboth sides we get,