22. Two concentric circles with Centre O have A,B,C and D as points of intersection with a line l as
shown in the figure. If

By Ella

22. Two concentric circles with Centre O have A,B,C and D as points of intersection with a line l as
shown in the figure. If AD=12 cm and BC = 8 cm, find the lengths of AB and CD.
Dal
C
B
AL​

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Ella

1 thought on “22. Two concentric circles with Centre O have A,B,C and D as points of intersection with a line l as<br />shown in the figure. If”

  1. Since, OM ⊥ BC

    BM = CM = ½ BC = 4 cm

    Also OM ⊥ AD

    So AM = DM = ½ AD = 6 cm

    Now AB = AM – BM = (6 – 4) cm = 2 cm

    CD = DM – CM = ( 6 – 4) cm = 2 cm

    ∴ AC = AB + BC = (2 + 8) cm = 10 cm

    and BD = BC + CD = (8 + 2)cm = 10 cm.

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