NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

CBSE CLASS XII Related Questions

  • 1.

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

      • \(0.35\)
      • \(0.85\)
      • \(0.5\)
      • \(0.21\)

    • 2.

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

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


        • 3.

          Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

            • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \frac{2\sqrt{\cos x}}{\sin x} \)
            • \( \frac{1}{\sin x\sqrt{\cos x}} \)

          • 4.

            Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


              • 5.

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


                  • 6.

                    The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

                      • \( -6 \) unit/sec
                      • \( 0 \) unit/sec
                      • \( 18 \) unit/sec
                      • \( 6 \) unit/sec
                    CBSE CLASS XII Previous Year Papers

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