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Question

In the figure, if ABC=200 and O is the centre, then AOC is equal to

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A
200
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B
400
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C
600
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D
100
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Solution

The correct option is D 400
For the arc AC,ABC is subtended at the circumference while AOC is subtended at the centre of the circle.
SInce, angle subtended by the arc at the centre is twice that of the angle subtended at the circumference, AOC=2ABC
AOC=400

Hence, option B.

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