NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.1

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Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.1 are based on the following concepts:

  • Statements
  • New statements from old
  • Special words / Phrases
  • Implications
  • Validating Statements
  • Conjunction

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Chapter Related Topics
Irrational Number Prime Number Real Number

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CBSE CLASS XII Related Questions

  • 1.

    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

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


      • 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.

            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.

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

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

                • 5.

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


                    • 6.

                      Evaluate :

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

                        CBSE CLASS XII Previous Year Papers

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