NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.6 Solutions 

CBSE CLASS XII Related Questions

  • 1.

    For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

      • \(\frac{1}{2}\)
      • \(\frac{3}{5}\)
      • \(\frac{1}{5}\)
      • \(\frac{3}{10}\)

    • 2.

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

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

      • 3.

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

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


          • 4.

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


              • 5.

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

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

                • 6.

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

                    CBSE CLASS XII Previous Year Papers

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