The minimum distance between a point on ...

The minimum distance between a point on the curve `y=e^(x)` and a point on the curve `y=log_(e)x` is -

A

`1/sqrt(2)`

B

`sqrt(2)`

C

`sqrt(3)`

D

`2sqrt(2)`

Verified by Experts

The correct Answer is:

B

`II^(nd)` curve
`y'=1/x`
`x=1 rArr` point (1, 0)
similarly Ist `rArr` point (0, 1)
distance `= sqrt(2)`

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