In a circle, the chords AB and CD intersect each other at point L (internally). If AL = 9 cm, LB = 7 cm and LD = 3 cm, then find CL (in cm).
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 21.
AL = 9 cm, LB = 7 cm, LD = 3 cm
When two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.
So, AL × LB = CL × LD
⇒ 9 × 7 = CL × 3
⇒ 63 = 3 × CL
⇒ CL = 63/3 = 21
Therefore, the length of CL is 21 cm.