[JEE Advanced 1999] for complex z w prove that z 2w w 2z z w if and
For complex $z,w$, prove that $|z|^2w-|w|^2z=z-w$ if and only if $z=w$ or $z\bar w=1$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Answer: Proved.
Grouping $|z|^2w-|w|^2z-(z-w)=0$ factors as $(z-w)(z\bar w-1)=0$, so $z=w$ or $z\bar w=1$.
JEE Advanced 1999 · Complex Numbers — verified solution by the Vidaara Team.
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.