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Mathematics · 2022

JEE Main · 25 July 2022, Shift 2 · Q1

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

For $\displaystyle z \in \mathbb{C}$ if the minimum value of $\displaystyle (|z-3 \sqrt{2}|+|z-p \sqrt{2} i|)$ is $\displaystyle 5 \sqrt{2}$, then a value of $\displaystyle p$ is \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.