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

The differential equation of all circles having their centre on the y=5 and touching the X axis is

A

`y^2(1+dy/dx)=25`

B

`(y-5)^2[1+(dy/dx)^2]=25`

C

`(y-5)^2[1+(dy/dx)^2]=15`

D

`(y-5)^2[1+(dy/dx)^2]=25`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos
  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation of the family of circles having their centres on the line y=10 and touching the X axis.

The differential equation of all circles in the first quadrant which touch the coordiante axes is of order

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The order of the differential equation of all circle of radius r, having centre on y-axis and passing through the origin, is

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

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

Solve the following:Find the equation of the circle with centre on the line 2x+y=0 and touching the lines 4x-3y+10=0 and 4x-3y=30

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The differential equation of y=c^2+c/x is

    Text Solution

    |

  2. x^2+y^2=a^2 is a solution of

    Text Solution

    |

  3. The differential equation of all circles having their centre on the y=...

    Text Solution

    |

  4. The differential equation y dy/dx+x=0 represents family of……..

    Text Solution

    |

  5. The solution of 1/x dy/dx=tan^(-1)x is……….

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The solution of dy/dx+y=cos x-sin x is

    Text Solution

    |

  9. The integrating factor of linear differential equation x dy/dx+2y=x^2 ...

    Text Solution

    |

  10. The solution of the differential equation dy/dx=sec x-y tan x is

    Text Solution

    |

  11. The particular solution of dy/dx=xe^(y-x) when y=0, x=0 is

    Text Solution

    |

  12. The decay rate of certain substance is directly proportional to the am...

    Text Solution

    |

  13. The order and degree of the differential equation d^3y/dx^3+(dy/dx)^4+...

    Text Solution

    |

  14. The order and degree of the differential equation [1+(dy/dx)^3]^(7/3=7...

    Text Solution

    |

  15. The order and degree of the differential equation sqrt(1+(dy/dx)^3)=(d...

    Text Solution

    |

  16. The order and degree of the differential equation of parabolas whose ...

    Text Solution

    |

  17. The differential equation of x^2+y^2=2Ax is

    Text Solution

    |

  18. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  19. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  20. The standard substitution for solving any homogeneous differential equ...

    Text Solution

    |