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

The differential equation of the family of hyperbolas having centres at the origin and whose axes are the coordinate axes is

A

`xy y_(2) + xy_(1)^(2) + yy_(1) = 0`

B

`xy y_(2) - xy_(1)^(2) - yy_(1) = 0`

C

`xy y_(2) + xy_(1)^(2) - yy_(1) = 0`

D

`xy y_(2) - xy_(1)^(2) - y y_(1) = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 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 the family of ellipses having centres at the origin and whose axes are the coordinate axes is

The differential equation of the family of parabolas having vertices at the origin and foci on y-axis is

The differential equation of the family of parabola with focus at the origin and the X -axis as axis is

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

Find the differential equations of the family of circles (i) touching the y-axis at the origin (ii) having centres on the y-axis and passing through the origin.

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The D.E. of the family of circles touching X-axis at (0,0) is (or) The...

    Text Solution

    |

  2. The differential equations of hyperbolas with coordinate axis as asymp...

    Text Solution

    |

  3. The differential equation of the family of hyperbolas having centres a...

    Text Solution

    |

  4. The solution of (dy)/(dx) = e^(x+y)+ x^(2)e^(x^(3)+y) is

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx) = (xy + y)/(yx + x...

    Text Solution

    |

  6. The solution of ydx - xdy = xydx is

    Text Solution

    |

  7. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

    Text Solution

    |

  8. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

    Text Solution

    |

  9. (dy)/(dx) = xy + x + y +1 has the solution

    Text Solution

    |

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

    Text Solution

    |

  11. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

    Text Solution

    |

  12. Solution the differential equation (dy)/(dx) + 1 = e^(x+y) is

    Text Solution

    |

  13. The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

    Text Solution

    |

  14. The solution of (dy)/(dx) = tan^(2)(x+y) is

    Text Solution

    |

  15. The solution of (dy)/(dx) = cos(x+y) is

    Text Solution

    |

  16. The solution of (dy)/(dx) = (4x+9y+1)^(2) is

    Text Solution

    |

  17. The equation of the curve through the origin and satifying the differe...

    Text Solution

    |

  18. The equation of curve passing through (1,3) whose slope at any point (...

    Text Solution

    |

  19. The equation of curve passing through (0,1) which is a solution of dif...

    Text Solution

    |

  20. The curve whose sub tangent is twice the abscissa of the point of cont...

    Text Solution

    |