NCERT Solutions for Class 11 Maths Chapter 3 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions Miscellaneous Exercises are based on following concepts:

  • Angles
  • Trigonometric Functions
  • Trigonometric Functions of Sum and Difference of Two Angles
  • Trigonometric Equations

Download PDF NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Miscellaneous Exercises 

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CBSE CLASS XII Related Questions

  • 1.

    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 \[ 3q(x)-\pi. \] 


      • 2.
        The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

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

        • 3.
          If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


            • 4.
              For a square matrix \(A\), \[ (3A)^{-1}= \]

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

              • 5.

                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. 


                  • 6.

                    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:

                      CBSE CLASS XII Previous Year Papers

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