NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.1

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.1 is based on the introductory concepts of Sequence and Series. 

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CBSE CLASS XII Related Questions

  • 1.
    Which of the following equations is NOT a Linear Differential Equation?

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

    • 2.
      Find:

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

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

      • 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: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


              • 5.

                A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


                  • 6.
                    Find:

                    If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

                      • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
                      • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
                      • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
                      • \(p = 0, \, q = 0\)
                    CBSE CLASS XII Previous Year Papers

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