NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.1

CBSE CLASS XII Related Questions

  • 1.

    Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


      • 2.

        Evaluate :

        \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


          • 3.

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


              • 4.

                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 :

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

                • 5.

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


                    • 6.

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

                        • \( \log \cos 2x + C \)
                        • \( \sec^{2} 2x + C \)
                        • \( e^{x}\tan x + C \)
                        • \( e^{x}\cot x + C \)
                      CBSE CLASS XII Previous Year Papers

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