NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.5 Solutions 

CBSE CLASS XII Related Questions

  • 1.

    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 :

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

    • 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.

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

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

          • 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.

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


                  • 6.

                    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

                    \[ 2x + y \geq 8 \]

                    \[ x + 2y \geq 10 \]

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

                      CBSE CLASS XII Previous Year Papers

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