Q8 of 141 Page 400

In the adjoining figure, is perpendicular to the chord of a circle with center If is a diameter, show that and

Given ODAB


In triangle ABC,


D is the mid-point of AB


∴ AD = DB


O is the mid-point of BC


∴ OC = OB


We say, AC||OD


(1/2) AC = OD [Mid-point theorem in triangle ABC]


⇒ AC = 2 × OD Proved.


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