NCERT Solutions for Applications of Integrals Exercise 8.2 Solutions

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Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Exercise 8.2 is provided in the article. Class 12 Chapter 8 Applications of Integrals Exercises include questions on area between a curve, parabola, and ellipse. All questions under this chapter are solved using diagrams and an easy to understand method.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 8 Exercise 8.2

Read More: NCERT Solutions For Class 12 Mathematics Chapter 8 Application of Integrals

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CBSE CLASS XII Related Questions

  • 1.

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


      • 2.
        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.


          • 3.

            For two vectors \(\vec{a}\) and \(\vec{b}\):  

            Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

              • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 4.
              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

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


                  • 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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