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

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

    • 2.

      Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


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


                • 5.
                  Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


                    • 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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