KVPY SB SX Exam 2011 Question Paper

Question : 13 of 120

Marks: +1, -0

The minimum distance between a point on the curve

y = e^x

and a point on the curve

y = \log_e x

Solution:

IInd curve

y'=1/x

x = 1 ⇒ point (1, 0)
similarly Ist ⇒ point (0, 1)
distance

= √2

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