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

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle passing through the origin and having the centre at (-4,3)

Find the equation of the circle passing through the orgin and having the centre at (-4,-3)

Form the differential equation corresponding to the family of circles passing through the origin and having centres on Y-axis.

The D.E. of the family of circles touching X-axis at (0,0) is (or) The D.E. of the family of circles passing through the origin and having their centre on Y-axis is

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

The equation of the circle passing through the origin and cuts of intercepts -6 and 4 on the axes as

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

(i) Fid the equation of the circle passing through the origin and having the centre at (-4,-3). (ii) Find the equation of the circle passing through (-2,3) and having centre at (0,0). (iii) Find the equztion of the circle passsing through (3,4) and having the centre at (-3,4). br> (iv) Find the equation of the circle whose centre is (-1,2) and whcih passes through (5,6).

The equation of the line passing through origin having slope

Find the equation of the circle passing through (3,4) and having the centre at (-3,4)

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The differential equation of family of circles of fixed radius r and h...

    Text Solution

    |

  2. The differential equation of family of circles of fixed radius 5 units...

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation of family of curves x^(2) + y^(2) - 2ay = 0 ...

    Text Solution

    |

  5. The differential equation of the family of parabolas having vertices a...

    Text Solution

    |

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

    Text Solution

    |

  7. The differential equation of the family of parabola with vertex at (0,...

    Text Solution

    |

  8. The differential equation of the family of ellipses having centres at ...

    Text Solution

    |

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

    Text Solution

    |

  10. The order of the differential equation (d^(2)y)/(dx^(2)) - 5 (dy)/(dx...

    Text Solution

    |

  11. The order of the differential equation ((dy)/(dx))^(3) + ((dy)/(dx))^...

    Text Solution

    |

  12. The order of the differential equation ((dy)/(dx) + 3x)^(3//2) = x + ...

    Text Solution

    |

  13. The order of the differential equation (d^(2)y)/(dx^(3)) + 2 ((dy)/(d...

    Text Solution

    |

  14. The order of the differential equation [2 + ((dy)/(dx))^(2)]^(-3//2) ...

    Text Solution

    |

  15. The order of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx...

    Text Solution

    |

  16. The degree and order of the differential equation of the family of all...

    Text Solution

    |

  17. The degree and order of D.E. of the family of rectangular hyperbolas w...

    Text Solution

    |

  18. The differential equation representing the family of curves y^(2) = 2c...

    Text Solution

    |

  19. The differential equation whose solution is Ax^(2) + By^(2) = 1, where...

    Text Solution

    |

  20. The differential equation of the family of curve y = ax + (1)/(a), whe...

    Text Solution

    |