NCERT Solutions for Class 11 Maths Chapter 6 Exercise 6.1

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Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities Exercise 6.1 is based on following concepts:

  • Inequalities
  • Algebraic Solutions of Linear Inequalities in 1 Variable and their Graphical Representation

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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.

      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.

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


            • 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.

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

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

                • 6.

                  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

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

                    CBSE CLASS XII Previous Year Papers

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