If $|z+4| \leq 3$, then the maximum value of $|z+1|$ is
If $|z+4| \leq 3$, then the maximum value of $|z+1|$ is
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$4$
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$10$
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$6$
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$0$
Solution
From the Argand diagram maximum value of $|z+1|$ is $6$.
Alternative:
$\begin{aligned}
& |z+1|=|z+4-3| \\
& \leq|z+4|+|-3|=6.
\end{aligned}$
Asked in: JEE Main 2007
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