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.

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


      • 2.

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


          • 3.

            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 :

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

            • 4.

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

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

              • 5.

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

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


                  • 6.

                    The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

                      • \( -6 \) unit/sec
                      • \( 0 \) unit/sec
                      • \( 18 \) unit/sec
                      • \( 6 \) unit/sec
                    CBSE CLASS XII Previous Year Papers

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