KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    The set of values of p for which the equation \[|\ln x|-\,px=0\] possess three roots is :

    A) (0, 1/e)

    B) (0, 1)

    C) \[(0,\,\,\sqrt{3})\]

    D) (0, e)

    Correct Answer: A

    Solution :

    \[1/{{x}_{1}}=p={{y}_{1}}/{{x}_{1}}\] \[\Rightarrow \] \[{{y}_{1}}=1\] & \[{{x}_{1}}=e.\]
    Hence slope of \[y=p\,x\]
    i.e.\[p\in (0,\,\,1/e)\] for three roots

You need to login to perform this action.
You will be redirected in 3 sec spinner