. Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle
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Sol: Given : A circle with centre O and AB of the circle. AB subtends AB at the centre and AB at any point C on the remaining part of the circle.
In figure (a) and (d) AB is minor, in figure (b) AB is a semicircle and in figure (c) AB is major arc.
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