In the given figure, chords AB and CD intersect each other at point L. Find CL.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4 cm.
AL = 8 cm
BL = 3 cm
DL = 6 cm
Acc. to Chord-Chord Power Theorem -
If two chords intersect in a circle, then the products of the lengths of the chord segments are equal.
Thus, CL × LD = BL × LA
Let the length of CL be x.
Putting values in given above formula -
6x = 8(3)
x = 24/6
x = 4 cm