NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.3

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.3 is provided in this article. Chapter 6 Exercise 6.3 includes questions that deal with concepts of tangents and normals. The exercise includes a total of 27 questions.

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CBSE CLASS XII Related Questions

  • 1.
    Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.


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

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

        • 3.
          Let both $AB'$ and $B'A$ be defined for matrices $A$ and $B$. If the order of $A$ is $n \times m$, then the order of $B$ is:

            • $n \times n$
            • $n \times m$
            • $m \times m$
            • $m \times n$

          • 4.
            Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]


              • 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.
                    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 \[ QR = \frac{3}{2} QP. \]

                      CBSE CLASS XII Previous Year Papers

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