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A complex number z satisfies the equatio...

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`

Text Solution

Verified by Experts

The correct Answer is:
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`
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