NCERT Solutions for Class 11 Maths Chapter 10 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Miscellaneous Exercises are based on the following concepts:

  • Slope of a Line
  • Various Forms of the Equation of a Line
  • General Equation of a Line
  • Distance of a Point From a Line

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CBSE CLASS XII Related Questions

  • 1.
    Find:

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

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

    • 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.

        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. 


          • 4.
            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 \(k\).

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

            • 5.
              Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


                • 6.
                  Which of the following equations is NOT a Linear Differential Equation?

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

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