NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

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


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


              • 5.

                The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

                  • \( \frac{7\pi}{12} \)
                  • \( \frac{5\pi}{12} \)
                  • \( -\frac{5\pi}{12} \)
                  • \( \frac{\pi}{3} \)

                • 6.

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

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

                    CBSE CLASS XII Previous Year Papers

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