NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.2

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.2 is based on the following concepts:

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CBSE CLASS XII Related Questions

  • 1.

    Evaluate:
    \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


      • 2.
        A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

          • Reflexive only
          • Reflexive and Transitive
          • Symmetric and Transitive
          • Symmetric only

        • 3.
          Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


            • 4.
              Find:

              The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

                • \(-\frac{\pi}{2}\)
                • \(-\frac{\pi}{4}\)
                • \(\frac{\pi}{4}\)
                • \(\frac{\pi}{2}\)

              • 5.
                Which of the following equations is NOT a Linear Differential Equation?

                  • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                  • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                  • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                  • \(y \, dx - (x + 3y^2) \, dy = 0\)

                • 6.
                  If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

                    CBSE CLASS XII Previous Year Papers

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