NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.2

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.2 is based on the following concepts:

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CBSE CLASS XII Related Questions

  • 1.
    Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


      • 2.

        Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

        The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


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

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

              • 5.

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

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

                • 6.
                  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.

                    CBSE CLASS XII Previous Year Papers

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