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MathNet 2026 — Part 06 Question 93

Math Olympiad Vault · MathNet 2026 — Part 06

Question 93

A circle, centre $I$, lies inside a circle, centre $J$, and touches it at a point $A$. A tangent is drawn to the circle, centre $I$, at a point $B$ different from $A$ which intersects the circle, centre $J$, at $C$ and $D$. Prove that $AB$ bisects $\angle CAD$.