2. Solved Papers
  3. JAMIA MILLIA ISLAMIA

JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        Differential coefficient of sec \[x\in (-\infty ,\infty )\] with respect to \[p>0,q>0,r>0\] at \[p\ne q\]is equal to :

    A)  2                                            

    B)  4

    C)  6                                            

    D)  1

    Correct Answer: B

    Solution :

                    Let\[{{y}_{1}}={{\sec }^{-1}}\frac{1}{2{{x}^{2}}-1}\]and\[{{y}_{2}}=\sqrt{1-{{x}^{2}}}\] \[\Rightarrow \]               \[\frac{d{{y}_{1}}}{dx}=\frac{-2}{\sqrt{1-{{x}^{2}}}}\]and\[\frac{d{{y}_{2}}}{dx}=\frac{-x}{\sqrt{1-{{x}^{2}}}}\] \[\Rightarrow \]               \[\frac{d{{y}_{1}}}{d{{y}_{2}}}=\frac{2}{x}\] \[\Rightarrow \]               \[{{\left( \frac{d{{y}_{1}}}{d{{y}_{2}}} \right)}_{x=1/2}}=\frac{2}{1/2}=4\]


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