NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.1

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.1 is based on following concepts: Conditional Probability and Properties of conditional probability.

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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 sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).


          • 3.

            \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

              • \( \log \cos 2x + C \)
              • \( \sec^{2} 2x + C \)
              • \( e^{x}\tan x + C \)
              • \( e^{x}\cot x + C \)

            • 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 \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


                    • 6.

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

                        CBSE CLASS XII Previous Year Papers

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