Question : In the given figure, chords XY and PQ intersect each other at point L. Find the length of XY (in cm).
Option 1: 21
Option 2: 20
Option 3: 22
Option 4: 23
Answer (1)
20th Jan, 2024
Correct Answer: 22
Solution :
Given: PQ = 10 cm, QL = 5 cm, YL = 3 cm, and LX = (x + 3) cm.
LQ × LP = LY × LX
Placing the values in the above formula,
5 × 15 = 3 × (x + 3)
⇒ 75 = 3x + 9
⇒ x = $\frac{66}{3} = 22$ cm
Hence, the correct answer is 22.
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