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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).
Question

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).

A.

20

B.

21

C.

18

D.

19

Correct option is B

Given:

Chord AB and CD as shown intersect at L
AL = 9 cm, LB = 7 cm and LD = 3 cm
Formula Used:
In a circle, if chords AB and CD intersect internally at a point L then,
AL×BL=CL×DLAL \times BL =CL \times DL​​
Solution:
9×7=CL×3CL=21cm9 \times 7 = CL \times 3\\CL= 21cm​​

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