Question:
Let \( |z_1 - 8 - 2i| \leq 1 \) and \( |z_2 - 2 + 6i| \leq 2 \), where \( z_1, z_2 \in \mathbb{C} \). Then the minimum value of \( |z_1 - z_2| \) is:
Let \( |z_1 - 8 - 2i| \leq 1 \) and \( |z_2 - 2 + 6i| \leq 2 \), where \( z_1, z_2 \in \mathbb{C} \). Then the minimum value of \( |z_1 - z_2| \) is:
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The minimum distance between two points on two circles is the distance between their centers minus the sum of their radii.
Updated On: Mar 24, 2025
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The Correct Option is D
Solution and Explanation
- The problem describes two circles in the complex plane. To find the minimum distance between \( z_1 \) and \( z_2 \), we calculate the distance between the centers of the two circles and subtract their radii.
- The minimum distance is \( 3 \).
- The minimum distance is \( 3 \).
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