JEE MAIN - Mathematics (2007 - No. 23)
If $$\,\left| {z + 4} \right|\,\, \le \,\,3\,$$, then the maximum value of $$\left| {z + 1} \right|$$ is :
6
0
4
10
Wyjaśnienie
$$z$$ lies on or inside the circle with center $$(-4,0)$$ and radius $$3$$ units.
From the Argand diagram maximum value of $$\left| {z + 1} \right|$$ is $$6$$
From the Argand diagram maximum value of $$\left| {z + 1} \right|$$ is $$6$$