Home
Class 12
MATHS
Form the differential equation of the fa...

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

Text Solution

Verified by Experts

Equation of a hyperbola is given by
`x^2/a^2 − y^2/b^2 =1`
Differentiating both the sides, we get
`2x/a^2 − 2yy′/b^2 =0...........(1)`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.5|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|28 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.

Form the differential equation representing the family of ellipses foci on x -axis and centre at the origin.

Form the differential equation representing the family of ellipses having foci on x -axis and centre at the origin.

Form the differential equation of family of standard circle

Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

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

Form the differential equation of family of circles having center at origin.

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

From the differential equation of the family of all parabolas having vertex at the origin and axis along the positive direction of the x-axis is given by

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