For z ∈ C if the minimum value of (| z -3 √2|+| z - p √2 i |) is 5 √2, then a value of p is

Question

For z ∈ C if the minimum value of (| z -3 √2|+| z - p √2 i |) is 5 √2, then a value of p is  (A) 3 (B) (7/2) (C) 4 (D) (9/2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/831b6a267f497ede9806c9fa3477e8cd-.png" /> √(3 √2)2+( p √2)2=5 √2 18+2 p 2=50 p 2=16 p =± 4 As per option ( C ) is correct

Q. For $z \in C$ if the minimum value of $(∣ z - 32 ∣ + ∣ z - p 2 i ∣)$ is $52$ , then a value of $p$ is ______

3

$\frac{7}{2}$

4

$\frac{9}{2}$

$(32)^{2} + (p 2)^{2} = 52$
$18 + 2 p^{2} = 50$
$p^{2} = 16$
$p = \pm 4$
As per option $(C)$ is correct

Q. For z∈C if the minimum value of (∣z−32​∣+∣z−p2​i∣) is 52​, then a value of p is ______

3

27​

4

29​

(32​)2+(p2​)2​=52​ 18+2p2=50 p2=16 p=±4 As per option (C) is correct

Q. For $z \in C$ if the minimum value of $(∣ z - 32 ∣ + ∣ z - p 2 i ∣)$ is $52$ , then a value of $p$ is ______

$\frac{7}{2}$

$\frac{9}{2}$

$(32)^{2} + (p 2)^{2} = 52$
$18 + 2 p^{2} = 50$
$p^{2} = 16$
$p = \pm 4$
As per option $(C)$ is correct