QJEEM22Ma2dc3: JEE Main 2022 Mathematics - Class 11 JEEM22Ma2dc3 Solution: For z ∈ C if the minimum value of (

Question

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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 Question: of $p$ is _____________.

Accepted Answer

JEE Main 2022 (Online) 25th July Evening Shift Mathematics - Complex Numbers Question 69 English Explanation

It is sum of distance of z from $(3 \sqrt{2}, 0)$ and $(0, p \sqrt{2})$

For minimising, z should lie on AB and $A B = 5 \sqrt{2}$

$(A B)^{2} = 18 + 2 p^{2}$

$p = \pm 4$

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