The shortest distance among the line y-x=1 and curve x=y^2, Mathematics

Any point on parabola, (k2,k)

Perpendicular distance formula:

D=(k-k2-1)/21/2

Differentiating and putting =0

1-2k=0

k=1/2

Therefore the point is (1/4, 1/2)

D=3/(321/2)

Posted Date: 3/11/2013 1:59:03 AM | Location : United States







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