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Difficulty:
75%
(hard)
Question Stats:
45% (02:09) correct
55%
(02:16)
wrong
based on 53
sessions
History
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Given that AB and CD are two chords of a circle intersecting at the point O outside the circle, and AB = 7 m, BO = 5 m, and OD = 3 m. What is the length of OC ?
A. 6 m
B. 16 m
C. 18 m
D. 20 m
E. 35 m
A. 6 m
B. 16 m
C. 18 m
D. 20 m
E. 35 m
Intersecting secants theorem, i.e., \((AO) \times (OB) = (OD) \times (OC)\)
\((7+5) \times 5=3 \times (OC)\)
\(\implies 4\times 5 = OC\)
\(\implies OC = 20\)
Ans D
\((7+5) \times 5=3 \times (OC)\)
\(\implies 4\times 5 = OC\)
\(\implies OC = 20\)
Ans D
