NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on following concepts:

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CBSE CLASS XII Related Questions

  • 1.
    A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.


      • 2.
        Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


          • 3.
            The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

              • \( e^{-3} \)
              • \( -1 \)
              • \( 1 \)
              • \( -e^3 \)

            • 4.

              The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

                • \([-1, 1]\)
                • \([4, 6]\)
                • \([-7, -3]\)
                • \([2, 3]\)

              • 5.

                Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


                  • 6.

                    Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 

                      CBSE CLASS XII Previous Year Papers

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