AMC / AIME · Power of a Point · Medium
Power of a Point: Two circles intersect at math. Line through math on math meets circles at math with math, math. If math, find math.
Chord and tangent-secant.
Try the problem
Two circles intersect at . Line through on meets circles at with , . If , find .
Hint and answer
Concept to use
Tangent-secant.
Hint
Equal powers from .
Answer
12
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