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Q. 44.3( 319 Votes )

If a line interse

Answer :

Let us draw a perpendicular OM on line AD


It can be observed that BC is the chord of the smaller circle and AD is the chord of the bigger circle


We know that perpendicular drawn from the centre of the circle bisects the chord


BM = MC (i) And,


AM = MD (ii)


On subtracting (ii) from (i), we get


AM − BM = MD − MC


AB = CD


Hence proved

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