NCERT Solutions for Class 11 Maths Chapter 6 Exercise 6.3

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Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities Exercise 6.3 is based Solution of System of Linear Inequalities in Two Variables.

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

      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

      • 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.

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


            • 5.

              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

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


                • 6.

                  If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                    • \(0.35\)
                    • \(0.85\)
                    • \(0.5\)
                    • \(0.21\)
                  CBSE CLASS XII Previous Year Papers

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