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Question

If O is the centre of the circle, find ABC in the figure given below.


A
31o
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B
30o
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C
62o
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D
124o
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Solution

The correct option is A 31o
We know: The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at any point of rest part of circumference of the circle.

In the figure, minor arc AC is subtending ABC at the circumference and AOC at the centre of the circle.

So, ABC=AOC2
ABC=62o2
ABC=31o

So, option (a) correct.

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