1.

If f(x)=k^(3)x+k^(3)-2 cuts the curve g(x)=1/2Inx^(2) at exactly one point 'k' may lie in the interval

Answer»

`(1/(SQRT(e)),e)`
`(1/e,1/(sqrt(e)))`
`(1/(e^(2)),1/e)`
NONE of these

Solution :`(-3"In"K+2)/(1/(k^(3))+1)=k^(3)`
So, `F(x)=k^(3)+3"In"k-1`
`f(1/sqrt(e))f(e)lt0`


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