NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 8 Binomial Theorem Miscellaneous Exercises are based on following concepts:

  • Binomial Theorem for Positive Integral Indices
  • General and Middle Terms

Download PDF NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Miscellaneous Exercises 

Check out the solutions of Class 11 Maths NCERT solutions Chapter 8 Binomial Theorem Miscellaneous Exercises 

Read More: NCERT Solutions For Class 11 Maths Chapter 8 Binomial Theorem

Also check other Exercise Solutions of Class 11 Maths Chapter 8 Permutations and Combinations

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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.
      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 \( x = 2 \).


        • 3.
          Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).


            • 4.
              Which of the following equations is NOT a Linear Differential Equation?

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

              • 5.
                Find:

                The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]


                  • 6.
                    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

                      CBSE CLASS XII Previous Year Papers

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