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Two concentric circles of radii a and b (a>b) are given. Find the length of the chord of the larger circle which touches the smaller circle



Chord of larger circle will be the tangent to smaller. using this property we get that b is perpendicular to chord cd and bisects it. using pythagoras theorem the length if chord is 2times root of a^2 -b^2
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Angle OEC=90(tangent and radius at point of contact are perpendicular)

by Pythagoras theorem
CD=2CE[perpendicular drawn from centre bisect the chord]
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