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

Question

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

Answer 1

http://clay6.com/mpaimg/1_jee8diff.png

Least value =Distance AC

$\Rightarrow OC-OA$

$\Rightarrow \sqrt{(24)^2+(7)^2}-6$

$\Rightarrow 25-6=19$

Hence (A) is the correct answer.