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

The differential equation of the family of circles of fixed radius r and having their centre on y-axis is

A

`((dy)/(dx))^(2) = (x^(2))/(r^(2) - x^(2))`

B

`((dy)/(dx))^(2) = (x^(2))/(r^(2) + y^(2))`

C

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

D

`((dy)/(dx))^(2) = (x^(2))/(x^(2) + r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The differential equation of family of circles of fixed radius r and having their centres on y-axis is

(i) Find the differential equation of the family of circles of fixed radius r with centres on the X-axis. (ii) Form the differential equation representing all the tangents to the prabola y^(2) = 2x .

The differential equation of family of circles of fixed radius 5 units and centre on the line y = 2 is

The differential equation representing the family of circles of constant radius r is

The differential equation of all circles passing through the origin and having their centres on the x-axis is

The differential equation of all circles passing through the origin and having their centres on the X-axis is

The order, degree of the differential equation of all circles of radius r, having centre on y-axis passing through the origin is (where r is arbitrary constant)

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The differential equation by eliminating a, b from (x-a)^(2) + (y-b)^(...

    Text Solution

    |

  2. The differential equation of all circles passing through the origin an...

    Text Solution

    |

  3. The differential equation of the family of circles of fixed radius r a...

    Text Solution

    |

  4. The differential equation of the family of parabolas with focus at ori...

    Text Solution

    |

  5. The differential equation of the system of curves given by (x^(2))/(a^...

    Text Solution

    |

  6. The solution of (xdx + ydx)/(x^(2) + y^(2)) = 0 is

    Text Solution

    |

  7. The solution of (dy)/(dx) = (1+y^(2))(1+x^(2))^(-1) is

    Text Solution

    |

  8. Tan^(-1)(x) + Tan^(-1)(y) = c is the solution of

    Text Solution

    |

  9. The solution of xd(xy) = ((f(xy))/(f^(1)(xy)))dx is

    Text Solution

    |

  10. The solution of (e^(x) + 1) y dy + (y+ 1) dx = 0 is

    Text Solution

    |

  11. If 2f(x) = f'(x) and f(0) = 3 then f(2) =

    Text Solution

    |

  12. The solution of (dy)/(dx) = (x log x^(2) + x)/(sin y + y cos y) is

    Text Solution

    |

  13. The solution of y-x((dy)/(dx)) = a(y^(2) + (dy)/(dx)) is

    Text Solution

    |

  14. The solution of the differential equation y dx + (x+ x^(2)y) dy = 0 is

    Text Solution

    |

  15. The solution of x dx + ydx = x^(2)y dy - xy^(2)dx is

    Text Solution

    |

  16. The solution of y dx - xdy + 3x^(2) y^(2) e^(x^(3))dx = 0 is

    Text Solution

    |

  17. The solution of (dy)/(dx) = 2xy - 3y + 2x - 3 is

    Text Solution

    |

  18. The solution of log((dy)/(dx)) = ax + by is

    Text Solution

    |

  19. The solution of y^(2) cos sqrt(x) dx-sqrt(x e)^((1)/(y)) dy = 0 is

    Text Solution

    |

  20. The solution of (dy)/(dx) + ((y^(2) + y + 1)/(x^(2) + x+1)) = 0 is

    Text Solution

    |