Question

For $z \in C$ if the minimum value of $(| z -3 \sqrt{2}|+| z - p \sqrt{2} i |)$ is $5 \sqrt{2}$, then a value of $p$ is ______

• A. 3
• B. $\frac{7}{2}$
• C. 4
• D. $\frac{9}{2}$

Answer 1

Answer: (C)

4

Answer 2

$\sqrt{(3\sqrt2​)^2+(p\sqrt2​)^2​=5\sqrt2​ }$
$18+2p^2=50$
$p^2=16$
$p=±4$
The correct option is (C): $4$