NCERT Solutions Class 12 Chapter 9 Differential Equations Exercise 9.3 Solutions

Collegedunia Team logo

Collegedunia Team

Content Curator

Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.3 is provided in the article. These exercises focus on two key concepts:

  • Formation of a Differential Equation whose General Solution is given.
  • Procedure to form a differential equation that will represent a given family of curves

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.3

Read More: NCERT Solutions For Class 12 Mathematics Chapter 9 Differential Equations

Also check other Exercise Solutions of Class 12 Maths Chapter 9 Differential Equations

Also Read:

Also Read:

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.
            The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

              • \( e^{-3} \)
              • \( -1 \)
              • \( 1 \)
              • \( -e^3 \)

            • 4.

              Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

              The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


                • 5.

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

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

                  • 6.
                    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.

                      CBSE CLASS XII Previous Year Papers

                      Comments


                      No Comments To Show