NCERT Solutions Class 12 Maths Chapter 9 Exercise 9.3 Differential Equations

NCERT solutions class 12 maths chapter 9 exercise 9.3 differential equations shows how to find the differential equation to represent a family of curves. The procedure to do so is given below.

Case 1:

• If the given family F₁ of curves depends on only one parameter then it is represented by an equation of the form F₁ (x, y, a) = 0.
• This equation is differentiated with respect to x and a is eliminated from the equations to get the required differential equation of form F(x, y, y′) = 0.

Case 2:

• If the given family F₂ of curves depends on the parameters a, b then it is represented by an equation of the from F₂ (x, y, a, b) = 0.
• We differentiate this to get an equation of the form g (x, y, y′, a, b) = 0. As we cannot use one equation to eliminate both a and b we need to differentiate this further to get h (x, y, y′, y″, a, b) = 0.
• Finally using these two we get the required differential equations as F (x, y, y′, y″) = 0.

NCERT solutions class 12 maths chapter 9 exercise 9.3 adeptly conveys knowledge of using the above steps to find the required differential equation.

This exercise has 12 questions which are of an intermediate level. They are well-crafted to help students develop an in-depth understanding of how to derive the differential equation of several shapes such as parabolas, hyperbolas, ellipses, etc. The NCERT solutions class 12 maths chapter 9 exercise 9.3 differential equations can be accessed via the link given below.

☛ Download NCERT Solutions Class 12 Maths Chapter 9 Exercise 9.3

Exercise 9.3 Class 12 Chapter 9  Download PDF

More Exercises in Class 12 Maths Chapter 9

• NCERT Solutions Class 12 Maths Chapter 9 Ex 9.1
• NCERT Solutions Class 12 Maths Chapter 9 Ex 9.2
• NCERT Solutions Class 12 Maths Chapter 9 Ex 9.4
• NCERT Solutions Class 12 Maths Chapter 9 Ex 9.5
• NCERT Solutions Class 12 Maths Chapter 9 Ex 9.6
• NCERT Solutions Class 12 Maths Chapter 9 Miscellaneous Ex

NCERT Solutions Class 12 Maths Chapter 9 Exercise 9.3 Tips

Students can use the procedure outlined in the NCERT solutions class 12 maths chapter 9 differential equations as a guideline while solving similar problems. They need to have a good understanding of conic sections in order to triumphantly complete this exercise. The sums can be tricky hence, it is advisable to revise all questions periodically. Apart from this, using a formula chart is very helpful to recall the various elements of different curves.

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