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Question

The shortest distance between line yx=1 and curve x=y2 is

A
328
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B
832
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C
43
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D
34
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Solution

The correct option is A 328
Shortest distance between two curve occurred along the common normal Slope of normal to y2=x at point P(t2,t) is -2t and slope of line yx=1 is 1.
As they are perpendicular to each other
(2t)=1t=12(14,12)
And shortest distance =121412
So shortest distance between them is328

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