SAT Circles Question

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Question 1 · Hard · MathDecember 2025 Batch 3 · Q20Circles · 0 solved

$x^{2} + y^{2} - 6 x - 10 y - 4 n = 0$ The given equation represents circle A in the xy-plane, where $n$ is a constant. Point $(5, 7)$ lies on circle B, which has the same center but twice the diameter as circle A. What is the value of $n$ ?

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