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Question

If the curves y=ln xx and y=λx2 (where λ is constant) touch each other, then λ is -

A
e3
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B
3e
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C
13e
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D
3e
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Solution

The correct option is C 13e
y=1ln xx2 and y=2λx
1ln x=2λx3
1ln x=2 ln x (λx3=lnx)
ln x=13x=e13

Putting the value of x in λx3=lnx
13=λeλ=13e

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