Home
Class 12
MATHS
The differential equation of all circles...

The differential equation of all circles which pass through origin and whose centres lie on y - axis is :

A

`(x^(2)-y^(2)) dy/dx +xy = 0`

B

`(x^(2)-y^(2)) dy/dx -xy = 0`

C

`(x^(2)-y^(2)) dy/dx +2xy = 0`

D

`(x^(2)-y^(2)) dy/dx -2xy = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos
  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Equation of a circle which passes through (3, 6) and touches the axes is:

The differential equations of all conics having centre at te origin is of order :

Find the equation of circle which passes through(1,0) and(0,-1) and whose centre lies on the line x-y+2=0 .

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Let f be a real values differentiable function on R such that f(1) =1....

    Text Solution

    |

  2. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

    Text Solution

    |

  3. The differential equation of all circles which pass through origin and...

    Text Solution

    |

  4. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  5. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

    Text Solution

    |

  6. The differential equation whose solution is Ax^2+By^2=1, where A and B...

    Text Solution

    |

  7. The differential equation of family of circles with fixed radius 5 uni...

    Text Solution

    |

  8. The differential equation which represents the family of curves y=c1e^...

    Text Solution

    |

  9. Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt...

    Text Solution

    |

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

    Text Solution

    |

  11. The differential equation of the family of parabola with focus at the ...

    Text Solution

    |

  12. Integrating factor of the differential equation cos x dy/dx + y sin x ...

    Text Solution

    |

  13. The differential equation dy/dx+Py = Qy^(n), n gt 2 can be reduced to ...

    Text Solution

    |

  14. The function f (theta) = d/d theta int0^(theta) dx/(1-cos theta cosx) ...

    Text Solution

    |

  15. The solution of the differential equation (1+x^(2)) dy.dx +1 + y^(2) =...

    Text Solution

    |

  16. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  17. The solution of the differential equation dy/dx +1 = e^(x+y) is

    Text Solution

    |

  18. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |