Question:medium

If $|Z_1 - 3 - 4i| = 5$ and $|Z_2| = 15$ then the sum of the maximum and minimum values of $|Z_1 - Z_2|$ is

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For problems involving max/min distances between points on circles ($|z-c_1|=r_1, |z-c_2|=r_2$), the key values are the distance between centers $d=|c_1-c_2|$, and the radii $r_1, r_2$. The max distance is $d+r_1+r_2$ and min distance is $|d-r_1-r_2|$ if they are exterior. For other configurations, a careful geometric or algebraic approach is needed.

Updated On: Mar 30, 2026

75
30
35
20

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The Correct Option is B

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