NCERT Solutions for Class 11 Maths Chapter 2 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 2 Relations and Functions Miscellaneous Exercises are based on the following concepts: 

  1. Cartesian Product of Sets
  2. Relations
  3. Functions

Download PDF NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Miscellaneous Exercises 

Check out the solutions of Class 11 Maths NCERT solutions Chapter 2 Relations and Functions Miscellaneous Exercises 

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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.

        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: 

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

        • 3.

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

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

          • 4.
            Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


              • 5.
                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

                • 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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