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Question

In the given figure, A, B and C are three points on the circle with centre O such that BOC=30 and AOB=60. If D is a point on the circle that is not on the arc ABC, then find ADC.



A

(902)

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B

45

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C

(602)

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D

30

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Solution

The correct options are
A

(902)


B

45


It can be observed that AOC=AOB+BOC=60+30=90.

We know 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.

So,ADC=12AOC=12×90=45

ADC=45


Mathematics

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