NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.1

CBSE CLASS XII Related Questions

  • 1.

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


      • 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.

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


              • 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.

                  Evaluate :

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


                    • 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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