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

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Miscellaneous Exercise is provided in this article. Chapter 6 Miscellaneous Exercise Solutions covers the concepts of rate of change of quantities, increasing and decreasing functions, maxima and minima, and approximations.

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Check out the Class 12 Maths NCERT solutions chapter 6 Applications of Derivatives Miscellaneous Exercise Solutions

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Class 12 Chapter 6 Applications of Derivatives Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

      • \( e^{y^2} \)
      • \( \frac{1}{\sqrt{y}} \)
      • \( e^{-\frac{1}{y^2}} \)
      • \( e^{y^2} \)

    • 2.
      Let $|\vec{a}| = 5 \text{ and } -2 \leq \lambda \leq 1$. Then, the range of $|\lambda \vec{a}|$ is:

        • [5, 10]
        • [-2, 5]
        • [-1, 5]
        • [10, 5]

      • 3.
        If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

          • \( -1 \)
          • \( \log 2 \)
          • \( -\log 2 \)
          • \( 1/2 \)

        • 4.
          If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


            • 5.
              Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.


                • 6.
                  Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.

                    CBSE CLASS XII Previous Year Papers

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