NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.3

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.3 is based on the following concepts:

  • Relationship Between A.M. and G.M.

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CBSE CLASS XII Related Questions

  • 1.

    If \[ B(\operatorname{adj} B)= \begin{bmatrix} \frac{1}{3} & 0 & 0\\ 0 & \frac{1}{3} & 0\\ 0 & 0 & \frac{1}{3} \end{bmatrix}, \] then the value of \[ \det(B^{-1}) \] is: 

      • \(\frac{1}{3}\)
      • \(\frac{1}{9}\)
      • \(3\)
      • \(9\)

    • 2.

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


        • 3.
          For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

            • local maximum value is 2
            • local minimum value is \( -2 \)
            • local maximum value is \( -2 \)
            • local minimum value \( < \) local maximum value

          • 4.
            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.


              • 5.
                For a square matrix \(A\), \[ (3A)^{-1}= \]

                  • \( 3A^{-1} \)
                  • \( 9A^{-1} \)
                  • \( \frac{1}{3} A^{-1} \)
                  • \( \frac{1}{9} A^{-1} \)

                • 6.
                  The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

                    • \( e^{-3} \)
                    • \( -1 \)
                    • \( 1 \)
                    • \( -e^3 \)
                  CBSE CLASS XII Previous Year Papers

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