NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.2

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Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.2 are based on the following concepts: 

  • New statements from old statements
  • Implications
  • Validating Statements
  • Conjunction

Download PDF NCERT Solutions for Class 11 Chapter 14 Mathematical Reasoning Exercise 14.2

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Chapter Related Topics
Irrational Number Prime Number Real Number

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 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.

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


              • 5.

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

                  • \(0.35\)
                  • \(0.85\)
                  • \(0.5\)
                  • \(0.21\)

                • 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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