NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.2

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.2 is provided in this article. Chapter 6 Exercise 6.2 includes questions that deal with concepts of increasing and decreasing functions. The exercise includes a total of 19 questions with 10 long questions, 7 short questions and 2 MCQs.

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CBSE CLASS XII Related Questions

  • 1.
    Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.


      • 2.
        Find the value of λ, if the points A(−1,−1,2), B(2,8,λ), C(3,11,6) are collinear.


          • 3.
            If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).


              • 4.
                The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

                  • \([-1, 1]\)
                  • \(\left[0, \frac{1}{2}\right]\)
                  • \([-2, 2]\)
                  • \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)

                • 5.
                  Find the general solution of the differential equation \[ x^2 \frac{dy}{dx} = x^2 + xy + y^2 \] OR


                    • 6.
                      Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]

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