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In thefigure, `O D`isperpendicular to the chord `A B`of a circlewhose centre is `Odot`If `B C`is adiameter, show that `C A=2O Ddot` |
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Answer» Since, `ODbotAB` (given) and the perpendicular drawn from the centre to a chord bisects the chord. `therefore` D is the mid -point of AB. Also, O is the mid -point of BC. Now, in `Delta ABC`, D and O are mid-points of AB and BC respectively. Therefore, `OD| |AC` and `OD = 1//2 AC`. or CA =2OD (mid-point theorem). |
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