Question : In the figure, chords XY = $x$ cm and PQ = 10 cm intersect each other at point L. Find the length of XY (in cm).
Option 1: 22
Option 2: 21
Option 3: 20
Option 4: 23
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Correct Answer: 20
Solution : For two chords, PQ and XY intersect each other externally at L, QL × PL = YL × XL ⇒ $6 × (10+6) = 4 × (x+4)$ ⇒ $x+4=24$ $\therefore x=20$ Hence, the correct answer is 20 cm.
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