Home
Class 12
MATHS
The differential equation of the family ...

The differential equation of the family of parabolas `y^2=4ax` , where a is parameter is :

A

`(dy)/(dx)=y/(2x)`

B

`(dy)/(dx)=-y/(2x)`

C

`(dy)/(dx)=-(2y)/(x)`

D

`(dy)/(dx)=(2y)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|11 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

Similar Questions

Explore conceptually related problems

The differential equation of the family of curves y^(2) = 4a(x+a) is

The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

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

The degree and order of the differential equation of the family of all parabolas whose axis is x - axis, are respectively :