NCERT Solutions for Differential Equations Exercise 9.2 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.2 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises include questions on Order and Degree of Differential Equations.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.2

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CBSE CLASS XII Related Questions

  • 1.

    Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

      • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
      • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
      • \( \frac{2\sqrt{\cos x}}{\sin x} \)
      • \( \frac{1}{\sin x\sqrt{\cos x}} \)

    • 2.

      The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

        • \( \frac{7\pi}{12} \)
        • \( \frac{5\pi}{12} \)
        • \( -\frac{5\pi}{12} \)
        • \( \frac{\pi}{3} \)

      • 3.

        Find the value of \(x\) if \(A = B\), where

        \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


          • 4.

            For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

            Minimize \(Z = 5x + 7y\)

            subject to constraints

            \[ 2x + y \geq 8 \]

            \[ x + 2y \geq 10 \]

            \[ x,\ y \geq 0. \]


              • 5.

                Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


                  • 6.

                    Evaluate :

                    \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

                      CBSE CLASS XII Previous Year Papers

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