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

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Any point on parabola, (k²,k)

Perpendicular distance formula:

D=(k-k²-1)/2^1/2

Differentiating and putting =0

1-2k=0

k=1/2

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

D=3/(32^1/2)

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