Q. 183.5( 2 Votes )

Form the differential equation of the family of hyperbolas having foci on x - axis and center at the origin.

Answer :

Equation of required hyperbola is


Where a,b are arbitrary constants


Differentiating with respect to x we get,




Again, differentiating with respect to x we get,




Substituting this value of in (ii) we get,






The required differential equation is


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 CalculusFREE Class
Functional Equations - JEE with ease48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses