A) \[\frac{OA}{OC}=\frac{OB}{OD}\]
B) \[\frac{AD}{BC}=\frac{AB}{DC}\]
C) \[\frac{OB}{OD}=\frac{BC}{CD}\]
D) \[\frac{OA}{OC}=\frac{DA}{DC}\]
Correct Answer: A
Solution :
Consider \[\Delta \,OAB\]and \[\Delta \,OCD\]. \[\angle DOC=\angle BOA\] (Opposite angle) \[\angle OCD=\angle OAB\] (Alternate angle) \[\angle ODC=\angle OBA\] (Alternate angles) Hence \[\Delta \,OAB\] and \[\Delta \,OCD\] are similar. \[\therefore \] \[\frac{OC}{OA}=\frac{OD}{OB}=\frac{DC}{AB}\] or \[\frac{OA}{OC}=\frac{OB}{OD}\]You need to login to perform this action.
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