Q. 93.7( 4 Votes )

# Form the differential equation of the family of circles touching the x-axis at the origin.

Answer :

Let C be the family of circles touching the x-axis at the origin ⇒ centre of this circle is given by (0,a)

∴ the equation of this family of circles is given by;

Differentiating w.r.t x

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Interactive Quiz on DIfferential Calculus50 mins

Interactive Quiz on Differential Calculus | Check Yourself56 mins

Functional Equations - JEE with ease48 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Solve the differential equation given that when

Mathematics - Board PapersThe general solution of e^{x} cosy dx – e^{x} siny dy = 0 is:

The differential equation represents:

Mathematics - ExemplarForm the differential equation of the family of parabolas having vertex at the origin and axis along positive y–axis.

Mathematics - Board PapersSolve the differential equation

Mathematics - ExemplarGiven that and y = 0 when x = 5.

Find the value of x when y = 3.

Mathematics - ExemplarFind the equation of a curve passing through origin and satisfying the differential equation

Mathematics - Exemplar