Chords in a circle: similar triangles and power of a point

CAT has tested this idea 3 times across 3 papers, from 2019 to 2025. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

Question	What it asks	Answer
CAT 2019 Slot 1 · QA Q5	chord crossing diameter; AE·EB = CE·ED	C
CAT 2023 Slot 1 · QA Q18	cyclic quadrilateral diagonals; AE:CE from side ratios	C
CAT 2025 Slot 3 · QA Q18	AB^2 = AD·AE in isosceles triangle with circle	C

Part of Geometry (65 questions since 2017).