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the shortest distance between line y-x=1 and the curve x=y 2

the shortest distance between line y-x=1 and the curve x=y2

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1 Answers

Aziz Alam IIT Roorkee
askIITians Faculty 232 Points
8 years ago
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)

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