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Prove that the intercept of a tangent between a pair of parallel tangents to a circle subtend a right angle at the centre of the circle.

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Prove that the intercept of a tangent between a pair of parallel tangents to a circle subtend a right angle at the centre of the circle.

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PQ and RS are two parallel tangents to a circle with centre O.

AB is tangents to a circle at C, intersecting PQ and RS at A and B respectively.

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