A complex number `z` satisfies the equation `|Z^(2)-9|+|Z^(2)|=41`, then the true statements among the following are

Question

A complex number `z` satisfies the equation `|Z^(2)-9|+|Z^(2)|=41`, then the true statements among the following are

A complex number `z` satisfies the equation `|Z^(2)-9|+|Z^(2)|=41`, then the true statements among the following are
A. `|Z+3|+|Z-3|=10`
B. `|Z+3|+|Z-3|=8`
C. Maximum value of `|Z|` is `5`
D. Maximum value of `|Z|` is `6`

Monjur Alahi

5 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 - A::C
`(a,c)` `|Z^(2)-9|+|Z^(2)|=41`
`implies |Z+3|+|Z-3|=10`
`implies 10=|Z+3|+|Z-3| ge |Z+3+Z-3|`
`implies|z| le 5`

5 views Answered 2023-02-05 15:29