NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.2

CBSE CLASS XII Related Questions

  • 1.

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


      • 2.
        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.


          • 3.
            For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

              • local maximum value is 2
              • local minimum value is \( -2 \)
              • local maximum value is \( -2 \)
              • local minimum value \( < \) local maximum value

            • 4.
              Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


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

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

                  • 6.
                    If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]

                      CBSE CLASS XII Previous Year Papers

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