First slide
Area of bounded Regions
Question

 Let A be the area between co-ordinate axis, y2=x1,x2=y1 and the line which makes the 

 shortest distance between two parabolas and A be the area between x=0,x2=y1,x=y and the 

 shortest distance between y2=x1 and x2=y1, then 

Difficult
Solution

Line of shortest distance will be perpendicular to line x=y. Also both parabolas are symmetric about x = y

A= area OABCDOA=area OECDOA=A/2

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