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

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

A

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

B

`x^2=y^2+3xy(dy)/(dx)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE Numerical Answer Type Questions|14 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

Similar Questions

Explore conceptually related problems

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

Find the differential equation of all the circles which pass through the origin and whose centres lie on y-axis.

Find the differential equation of all the circles which pass thorough the origin and whose centres lie on x-axis.

Find the equation of circle of radius 3, passing through the origin and having its centre on the x-axis.

MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
  1. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation of the family of circles with fixed radius 5...

    Text Solution

    |

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

    Text Solution

    |

  6. Solution of the differential equatoin cosxdy=y(sinx-y)dx,0ltxltpi//2 i...

    Text Solution

    |

  7. If (dy)/(dx)=y+3gt0 and y(0)=2,y(log2) is equal to:

    Text Solution

    |

  8. Let I be the purchase value of an equipment and V(t) be the vlalue aft...

    Text Solution

    |

  9. Consider the differential equation y^2dx+(x-1/y)dy=0. If y(1)=1, then ...

    Text Solution

    |

  10. The population p(t) at time t of a certain mouse species follows the d...

    Text Solution

    |

  11. At present, a firm is manufacturing 2000 times. It is estimated that t...

    Text Solution

    |

  12. Consider the differential equation (dy)/dx=y^3/(2(xy^2-x^2)) State...

    Text Solution

    |

  13. Let the population of rabbits surviving at a time t be governed by the...

    Text Solution

    |

  14. If the differential equation representing the family of all circles to...

    Text Solution

    |

  15. If the general solution of the differential equation y'=y/x+phi(x/y), ...

    Text Solution

    |

  16. The genral solution if the differnetial equation sin2x((dy)/(dx)-sqrt(...

    Text Solution

    |

  17. If (dy)/(dx)+ytanx=sin2x and y(0)=1", then "y(pi) is equal to

    Text Solution

    |

  18. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  19. The solution of the differential equation ydx-(x+2y^2)dy=0 is x=f(y). ...

    Text Solution

    |

  20. If y(x) is the solution of the differential equation (x+2)(dy)/(dx)=x^...

    Text Solution

    |