NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.1

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.1 is given in this article. Chapter 6 Applications of Derivatives Exercise 6.1 includes questions on the introduction of derivatives and the rate of change of quantities. The exercise includes a total of 18 questions including 10 long questions, 6 short questions and 2 MCQs.

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Class 12 Chapter 6 Applications of Derivatives Topics:

CBSE Class 12 Mathematics Study Guides:

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


          • 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 \( \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = 0 \), \( |\overrightarrow{a}| = \sqrt{37} \), \( |\overrightarrow{b}| = 3 \), and \( |\overrightarrow{c}| = 4 \), then the angle between \( \overrightarrow{b} \) and \( \overrightarrow{c} \) is:

                • \( \frac{\pi}{6} \)
                • \( \frac{\pi}{4} \)
                • \( \frac{\pi}{3} \)
                • \( \frac{\pi}{2} \)

              • 5.
                If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

                  • 0
                  • 1
                  • -2
                  • -4

                • 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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