NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.4

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.4 is based on Sum to n Terms of Special Series. 

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CBSE CLASS XII Related Questions

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


      • 2.

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


          • 3.
            Find:

            If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

              • \(0\)
              • \(-2\)
              • \(-1\)
              • \(2\)

            • 4.

              An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
              Based on the above information, answer the following questions :


                • 5.
                  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 \(q\).

                    • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
                    • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
                    • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
                    • \(p = 0, \, q = 0\)

                  • 6.
                    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 \( x = 2 \).

                      CBSE CLASS XII Previous Year Papers

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