The angle made between the chord a tangent at the point of contact is _______ the angle made by the chord in the alternate segment.

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equal to

thrice

twice

four times

answer is B.

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Detailed Solution

Concept: The chord-tangent (alternate segment) theorem states that, for a circle, the angle formed by the chord and a tangent at the point of contact is equal to the angle formed by the chord in the alternate segment.

Hence, the angle made between the chord a tangent at the point of contact is equal to the angle made by the chord in the alternate segment.

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