[JEE Main 2011] If $|z-3-2i|\le2$, then the minimum value of $|2z-6+5i|$ is ____
If $|z-3-2i|\le2$, then the minimum value of $|2z-6+5i|$ is ____
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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Answer: $5$.
$|2z-6+5i|=2\left|z-\left(3-\tfrac52 i\right)\right|$. The centre $3+2i$ is at distance $4.5$ from $3-\tfrac52 i$; minus radius $2$ gives $2.5$, doubled $=5$.
JEE Main 2011 · Complex Numbers — verified solution by the Vidaara Team.
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