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For any complex number z , find the mini...

For any complex number `z ,` find the minimum value of `|z|+|z-2i|dot`

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The correct Answer is:
2
We have , for ` z in C `
` |2i| = |z + ( 2i - z )| `
` le |z| + |2i - z | `
` rArr 2 le |z| + |z - 2i | `
Thus, minimum value of ` |z| + |z - 2i |` is 2.
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