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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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