If `omega` is any complex number such that `z omega=|z|^(2)` and `|z-barz|+|omega+baromega|=4`, then as `omega` varies, then the area bounded by the l

Question

If `omega` is any complex number such that `z omega=|z|^(2)` and `|z-barz|+|omega+baromega|=4`, then as `omega` varies, then the area bounded by the l

If `omega` is any complex number such that `z omega=|z|^(2)` and `|z-barz|+|omega+baromega|=4`, then as `omega` varies, then the area bounded by the locus of `z` is
A. `4` sq. units
B. `8` sq. units
C. `16` sq. units
D. `12` sq. units

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`(b)` `zomega=|z|^(2)`
`implieszomega=zbarz`
`impliesomega=barz`
`:. |z-barz|+|z+barz|=4`
`:. |x|+|y|=2`
which is a square `:.` Area `=8`sq. units

7 views Answered 2023-02-05 15:29