Suppose z and `omega` are two complex number such that `|z + iomega| = 2`. Which of the following is ture about `|z|` and `|omega|`?A. `|z|=|omega|= (1)/(2)`B. `|z|=(1)/(2),|omega|,|omega| = (3)/(4)`C. `|z| = |omega| = (3)/(4)`D. `|z| = |omega| = 1`

Suppose z and `omega` are two complex number such that `|z + iomega| =

1.	Suppose z and `omega` are two complex number such that `\|z + iomega\| = 2`. Which of the following is ture about `\|z\|` and `\|omega\|`?A. `\|z\|=\|omega\|= (1)/(2)`B. `\|z\|=(1)/(2),\|omega\|,\|omega\| = (3)/(4)`C. `\|z\| = \|omega\| = (3)/(4)`D. `\|z\| = \|omega\| = 1`
Answer» Correct Answer - D We know that `\|z + iomega\| le \|z\| +\|iomega\| =\|z\| +\|i\| \|omega\|=1` Given `\|z+iomgea\| = 2 rArr\|z\| =\|omega\| =1`.

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Suppose z and `omega` are two complex number such that `|z + iomega| = 2`. Which of the following is ture about `|z|` and `|omega|`?A. `|z|=|omega|= (1)/(2)`B. `|z|=(1)/(2),|omega|,|omega| = (3)/(4)`C. `|z| = |omega| = (3)/(4)`D. `|z| = |omega| = 1`

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