NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities Miscellaneous Exercises is based on following concepts:

  • Inequalities
  • Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

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CBSE CLASS XII Related Questions

  • 1.
    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 \(q\).

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

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


          • 4.

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


              • 5.
                If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


                  • 6.

                    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 :

                      CBSE CLASS XII Previous Year Papers

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