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MathNet 2009-part-03 — 175 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 70

A circle has radius $4$ units, and a point $P$ is situated outside the circle. A line through $P$ intersects the circle at points $A$ and $B$. If $PA = 4$ units and $PB = 6$ units, how far is $P$ from the center of the circle?