NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.1 Solutions 

CBSE CLASS XII Related Questions

  • 1.

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

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


      • 2.

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

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

        • 3.

          For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

          Minimize \(Z = 5x + 7y\)

          subject to constraints

          \[ 2x + y \geq 8 \]

          \[ x + 2y \geq 10 \]

          \[ x,\ y \geq 0. \]


            • 4.

              For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

              Minimize \(Z = 18x + 10y\)

              subject to constraints

              \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


                • 5.

                  Evaluate :

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


                    • 6.

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

                        • \( \frac{7\pi}{12} \)
                        • \( \frac{5\pi}{12} \)
                        • \( -\frac{5\pi}{12} \)
                        • \( \frac{\pi}{3} \)
                      CBSE CLASS XII Previous Year Papers

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