NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.3

CBSE CLASS XII Related Questions

  • 1.
    Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


      • 2.

        The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

          • \([-1, 1]\)
          • \([4, 6]\)
          • \([-7, -3]\)
          • \([2, 3]\)

        • 3.
          A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.


            • 4.
              For a square matrix \(A\), \[ (3A)^{-1}= \]

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

              • 5.
                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.


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

                      CBSE CLASS XII Previous Year Papers

                      Comments


                      No Comments To Show