NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.4

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Class 12 Maths NCERT Solutions Chapter 6 Applications of Derivatives Exercise 6.4 is provided in this article. Chapter 6 Exercise 6.4 includes questions that deal with concepts of applications of derivatives and approximations. The exercise includes a total of 9 questions with 7 short questions and 2 MCQs.

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Check out Class 12 Maths NCERT solutions chapter 6 Applications of Derivatives Exercise 6.4:

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Class 12 Chapter 6 Applications of Derivatives Topics:

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CBSE CLASS XII Related Questions

  • 1.
    If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :

      • $-1$
      • 1
      • $-m^2$
      • $m^2$

    • 2.

      Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.


        • 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.
            Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]


              • 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.
                  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.

                    CBSE CLASS XII Previous Year Papers

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