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In the figure, O D is perpendicula...

In the figure, `O D` is perpendicular to the chord `A B` of a circle whose centre is `Odot` If `B C` is a diameter, show that `C A=2O Ddot`

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To solve the problem, we need to show that \( CA = 2OD \) given that \( OD \) is perpendicular to the chord \( AB \) and \( BC \) is a diameter of the circle with center \( O \). ### Step-by-Step Solution: 1. **Identify the Given Information**: - \( O \) is the center of the circle. - \( OD \) is perpendicular to the chord \( AB \). - \( BC \) is a diameter of the circle. ...
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