Indian Statistical Institute, ISI BStat/BMath 2019 Solution & Discussion: Problem 8

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Indian Statistical Institute (I.S.I.) Subjective UGB B.Stat. & B.Math. 2019 Problem 8 Solution & Discussion
Finding the minimum distance between two non-intersecting curves.
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Well the solution was wickedly awesome... Far better than the other solutions I have seen for this question....

tapasdebnath
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This has to be one of the most beautiful solutions I have seen . Talk about making mathematics lovely !

Neelchakraborty
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Cant we say that the minimum distance occurs, when their (P and Q) normals intersect - implying that their slopes are equal. Comparing slopes, we get x=-u

abhishekar
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Nice solution. How to extend the result for any two points on C1 and C2?

arunb