[JEE Main 2007] If $|z+4|\le3$, then the maximum value of $|z+1|$ is
If $|z+4|\le3$, then the maximum value of $|z+1|$ is
(a) $6$
(b) $0$
(c) $4$
(d) $10$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
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Correct answer: (a) $6$
$z$ lies in the disc centred at $-4$ of radius $3$; the farthest point from $-1$ is at distance $|{-1}-({-4})|+3=3+3=6$.
JEE Main 2007 · Complex Numbers — verified solution by the Vidaara Team.
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