NCERT Solutions for Applications of Integrals Exercise 8.1 Solutions

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Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Exercise 8.1 is provided in the article. Class 12 Chapter 8 Applications of Integrals Exercises include questions on area between a curve, parabola, and ellipse.

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

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

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


            • 4.

              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:


                • 5.

                  Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


                    • 6.
                      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
                      CBSE CLASS XII Previous Year Papers

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