prove that the chord with the least length through any point in acircle
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Let C (O, r) is a circle and let 'N' be a point inside the circle. O is the center and r is the radius of the circle. Let AB is the chord which is bisected by point M and CD is any other chord passing through M. We have to prove that the smallest chord among all the chords which passes through M is AB.
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Proof: Let C (O, r) is a circle and let 'N' be a point inside the circle. O is the center and r is the radius of the circle. Let AB is the chord which is bisected by point M and CD is any other chord passing through M. We have to prove that the smallest chord among all the chords which passes through M is AB.
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