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If |z+2-i|=5 and maxium value of |3z +9-...

If `|z+2-i|=5` and maxium value of `|3z +9-7i|` is M, then the value of M is ______.

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Verified by Experts

The correct Answer is:
20
`|3z+9-7i| =|(3z + 6 -3i)+(3-4i)|le|3z + 6-3i|+|3-4i| `
`= 3|z+2-i|+5`
`= 20`
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