The minimum value of $| z - 3 | + | z + 5 |$ is

1

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4

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6

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8

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Solution

The correct option is D $8$
The minimum value will occur for $| z | = 0$ or $z = 0 + 0 i$
Hence we get the minimum value as
$| z - 3 | + | z + 5 |$
$= 3 + 5$
$= 8$

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