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C1 and C2 are two non-intersecting curves. Common normal of C1 and C2 intersect at the points (1,0) and (4, 4) on the curves. If the slope of the normal is 30 degrees, find the shortest distance between the curves assuming they have only one common normal

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C1 and C2 are two non-intersecting curves. Common normal of C1 and C2 intersect at the points (1,0) and (4, 4) on the curves. If the slope of the normal is 30 degrees, find the shortest distance between the curves assuming they have only one common normal




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