NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.2

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.2 is based on following concepts: Multiplication Theorem on Probability and Independent Events

Independent events are two events wherein the probability of occurrence of one of them is not affected by the occurrence of the other are called independent events.

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


        • 3.
          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 \(k\).

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

          • 4.

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


              • 5.
                Which of the following equations is NOT a Linear Differential Equation?

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

                • 6.
                  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
                  CBSE CLASS XII Previous Year Papers

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