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.
    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.

      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. 


        • 3.
          If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


            • 4.

              Find:
              Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

                • \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
                • \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
                • \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
                • \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)

              • 5.
                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

                • 6.

                  At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


                  Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
                  On the basis of the above information, answer the following questions :

                    CBSE CLASS XII Previous Year Papers

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