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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