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Problem 671

AMC 10/12, early questions

Geometry Difficulty 3.0 Find the answer UKMT Senior Mathematical Challenge · United Kingdom · 2023

The points $P(d, -d)$ and $Q(12-d, 2d-6)$ both lie on the circumference of the same circle whose centre is the origin. What is the sum of the two possible values of $d$ ? (A) $-16$ (B) $-4$ (C) $4$ (D) $8$ (E) $16$

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