NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.3 Solutions 

CBSE CLASS XII Related Questions

  • 1.
    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

    • 2.
      If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


        • 3.

          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:


            • 4.

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

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

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

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

                • 6.

                  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. 

                    CBSE CLASS XII Previous Year Papers

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