Question

prove prove that angle subtended by an Arc at centre is double the angle subtended by the same arc at the remaining part of the circle

Answer 1

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To Prove : ∠PAQ = 90° Proof : Now, POQ is a straight line passing through center O. ∴Angle subtended by arc PQ at O is ∠POQ = 180° Also, By theorem 10.8 : 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.


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