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.

    Evaluate :

    \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


      • 2.

        Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


          • 3.

            If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

            \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]


              • 4.

                Find the value of \(x\) if \(A = B\), where

                \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


                  • 5.

                    Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


                      • 6.

                        If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                          • \(0.35\)
                          • \(0.85\)
                          • \(0.5\)
                          • \(0.21\)
                        CBSE CLASS XII Previous Year Papers

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