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Question

The shortest distance between line yx=1 and curve x=y2 is
  1. 832
  2. 328
  3. 43
  4. 34


Solution

The correct option is B 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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