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In the adjoining figure,OD is perpendicu...

In the adjoining figure,OD is perpendicular to the chord AB of a circle what centre O. If BC is a diameter, show that `AC|| DO ` and `AC = 2 xx OD`.

Text Solution

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OD `_|_` AB`implies` D is the midpoint f AB.
Also , O is the midpoint of BC. Join AC.
Now ,in `Delta ABC `, D is the midpoint of AB and O is the midpoint of BC.
`:. DO ||AC ` and `DO = (1)/(2) AC`.
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