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

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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 domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


      • 2.

        Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


          • 3.
            In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


              • 4.

                Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


                  • 5.
                    For a square matrix \(A\), \[ (3A)^{-1}= \]

                      • \( 3A^{-1} \)
                      • \( 9A^{-1} \)
                      • \( \frac{1}{3} A^{-1} \)
                      • \( \frac{1}{9} A^{-1} \)

                    • 6.
                      Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

                        CBSE CLASS XII Previous Year Papers

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