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Question

O is the centre of the circle and BCD is the tangent to it at C. BAC+ACD=

A
180
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B
90
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C
60
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D
150
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Solution

The correct option is B 90

In triangle OCA
OCA=OAC
{ angles opposite to equal sides (OC = OA= radius)}
And,
OC BCD ( tangent to a circle is always perpendicular to the radius at that point )
So,
OCA+ACD=90
But,
OCA=OAC
So, AOCACD=90

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