NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.4

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Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.4 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 14.4

Check out the solutions of Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.4

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Chapter Related Topics
Irrational Number Prime Number Real Number

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CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

        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

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


          • 3.

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

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

            • 4.

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

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

              • 5.

                Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


                  • 6.

                    Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

                      • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                      • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                      • \( \frac{2\sqrt{\cos x}}{\sin x} \)
                      • \( \frac{1}{\sin x\sqrt{\cos x}} \)
                    CBSE CLASS XII Previous Year Papers

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