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# The least value of $\mid z_1+z_2\mid$ if $z_1=24+7i$ and $|z_2|=6$ is :

$\begin{array}{1 1}(A)\;19&(B)\;25\\(C)\;31&(D)\;\text{None}\end{array}$

Least value =Distance AC
$\Rightarrow OC-OA$
$\Rightarrow \sqrt{(24)^2+(7)^2}-6$
$\Rightarrow 25-6=19$
Hence (A) is the correct answer.