Home
Class 12
MATHS
The differential equation of co-axial sy...

The differential equation of co-axial system of circles `x^(2) + y^(2) -4 + lamda (2x + y - 5) = 0` is

A

`(2+(dy)/(dx))(x^(2)+y^(2) - 4)-(2x+2y(dy)/(dx))(2x+y-5) = 0`

B

`x^(2) + y^(2)-4 + (dy)/(dx)(2x+y-5) = 0`

C

`x^(2) + y^(2) -4+(2+(dy)/(dx))(2x+y-5)=0`

D

`(x^(2)+y^(2)-4)(2x+2y)(dy)/(dx) = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 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 family of coaxal circles x^(2) + y^(2) + 2lambda x + c = 0 is

The system of circles is x^(2) + y^(2) + 2 lambdax - 5 = 0 is

The equation to the line joining the centres of the circles belonging to the coaxial system of circles 4x^(2) + 4y^(2) - 12x + 6y - 3 + lambda (x + 2y - 6) = 0 is

Find the equation of tangent and normal at (3, 2) of the circle x^(2) + y^(2) - x -3y - 4 = 0.

The equation of the diameter of the circle x^(2)+y^(2)+2x-4y=4=0 that is parallel to 3x+5y-4=0 is

The equation of the diameter of the circle x^(2)+y^(2)+2x-4y-4=0 that is parallel to 3x+5y-4=0 is

The equation of the diameter of the circle x^(2) + y^(2) -4x-6y +3 = 0 that is perpendicular 2x + 5y-6 = 0 is

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. Asserton (A) : The solution of (dy)/(dx) = (x+y)/(x) is e^(y//x) = cx ...

    Text Solution

    |

  2. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

    Text Solution

    |

  3. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

    Text Solution

    |

  4. The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = ...

    Text Solution

    |

  5. The differential equation of co-axial system of circles x^(2) + y^(2) ...

    Text Solution

    |

  6. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

    Text Solution

    |

  7. The volume of spherical ballon being inflated changes at a constant ra...

    Text Solution

    |

  8. In a bank, principal increases continuously at the rate of r% per yeat...

    Text Solution

    |

  9. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  10. In a culture, the bacteria count is 1,00,000. The number is increased ...

    Text Solution

    |

  11. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx) = (y)/(x) + (Phi...

    Text Solution

    |

  13. If y = y (x) is the solution of the differential equation ((2 + sin x)...

    Text Solution

    |

  14. (dy)/(dx) +2x tan(x-y) = 1 rArr sin(x-y) =

    Text Solution

    |

  15. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

    Text Solution

    |

  16. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

    Text Solution

    |

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

    Text Solution

    |

  18. The differential equation corresponding to the family of circles given...

    Text Solution

    |

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

    Text Solution

    |

  20. The differential equation of the simple harmonic motion given by x = A...

    Text Solution

    |