Home
Class 12
MATHS
The differential equation of the family ...

The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is

A

`(y-2)y'^(2) = 25-(y-2)^(2) `

B

`(y-2)^(2)y'^(2) = 25-(y-2)^(2) `

C

`(x-2)^(2) y'^(2) = 25- (y-2)^(2) `

D

`(x-2)y'^(2)= 25 - (y-2)^(2) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (Topicwise)|60 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

Similar Questions

Explore conceptually related problems

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

" The differential equation formed by set of circles having the radius unity and centre lies on the line "y=2x" is having "

Obtain the differential equation of the family of circles : having radius 3 and centre on y-axis.

The differential equation of family of circles whose centre lies on x-axis, is

Obtain the differential equation of the family of circles : with centre at (1, 2)

Find the differential equation of all the circles whose radius is one unit.

Form the differential equation of family of standard circle

The differential equation satisfied by all the circles with radius = r(constant) and center on the line x=y is

If I and m are the degree and the order respectively of the differential equation of the family of all circles in the XY plane with radius 5 units then 2l+3m=

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

DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-2 : Concept Applicator
  1. If the solution of the differential equation y( 1 + 2 xy sec^(2) (x^(2...

    Text Solution

    |

  2. A ray of light coming from origin after reflectiion at the point P (x ...

    Text Solution

    |

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

    Text Solution

    |

  4. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  5. The solution of differential equation x y^(prime)=x((y^2)/(x^2)+(f((y^...

    Text Solution

    |

  6. The solution of the differential equation (dy)/(dx)=(1-3y-3x)/(1+x+y) ...

    Text Solution

    |

  7. The solution of the equation (dy)/(dx)=((y^(2) -y-2))/(x^(2) + 2x+3) i...

    Text Solution

    |

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

    Text Solution

    |

  9. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  10. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

    Text Solution

    |

  11. In a culture, the bacteria count is 1,00,000. The number is increas...

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2), is

    Text Solution

    |

  13. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

    Text Solution

    |

  14. Solution of the differential equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y...

    Text Solution

    |

  15. Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

    Text Solution

    |

  16. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |

  17. v34

    Text Solution

    |

  18. Solve: dy/dx=(y f\'(x)-y^2)/f(x), where f(x) is a given function of x

    Text Solution

    |

  19. The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2...

    Text Solution

    |

  20. The particular solution of the differential equation sin^(-1)((d^2 y)/...

    Text Solution

    |