NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.5

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Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.5 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 14.5

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Chapter Related Topics
Irrational Number Prime Number Real Number

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CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

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


          • 3.

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

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

            • 4.

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

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

              • 5.

                Find the value of \(x\) if \(A = B\), where

                \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


                  • 6.

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

                      CBSE CLASS XII Previous Year Papers

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