2. Solved Papers
  3. Manipal Engineering

Manipal Engineering Manipal Engineering Solved Paper-2012

  • question_answer
    In any\[\Delta \,\,ABC\], the least value of\[\left( \frac{{{\sin }^{2}}A+\sin A+1}{\sin A} \right)\].

    A) \[3\]                                     

    B) \[\sqrt{3}\]

    C) \[9\]                     

    D)         None of these

    Correct Answer: A

    Solution :

    \[\frac{{{\sin }^{2}}A+\sin A+1}{\sin A}=\sin A+\frac{1}{\sin A}+1\]                 \[=\left[ {{\left( \sqrt{\sin A}-\frac{1}{\sqrt{\sin A}} \right)}^{2}}+3 \right]\ge 3\]


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