Home
Class 12
MATHS
The differential equation : (dy)/(dx)=(s...

The differential equation : `(dy)/(dx)=(sqrt(1-y^2))/y` determines a family of circles with :

A

Variable radii and fixed centre at (0,1)

B

Variable radii and fixed centre at (0, -1)

C

fixed radius 1 and variable centre along the x-axis

D

fixed radius 1 and variable centre along the y-axis

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The differential equation y(dy)/(dx)+x=c represents

The solution of the differential equation x(dy)/(dx)-y=3 represents a family of

Solve the differential equation 2(dy)/(dx)=y/x+(y^(2))/(x^(2))

Solve the differential equation (dy)/(dx) + 3y = e^(-3x)

Find the general solution of the differential equations (dy)/(dx) = sqrt(4 - y^(2))(-2 lt y lt 2)

The solution of the differential equation : (dy)/(dx)=x+y^2 is :

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

The differential equation (dx)/(dy)=(3y)/(2x) represents a family of hyperbolas (except when it represents a pair of lines) with eccentricity.

The solution of the differential equation x(dy)/(dx)-y=3 represents is a family of

The solution of the differential equations 2x(dy)/(dx)-y=3 re[resemts a family of :

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The solution of the differential equation dy/dx = xe^(x-y) is

    Text Solution

    |

  2. f(x) and g(x) are two differentiable functions on [0,2] such that f^('...

    Text Solution

    |

  3. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

    Text Solution

    |

  4. Tangent is drawn at any point P of a curve which passes through (1,1) ...

    Text Solution

    |

  5. The interval contained in the domain of definition of non-zero solutio...

    Text Solution

    |

  6. Let f be a real values differentiable function on R such that f(1) =1....

    Text Solution

    |

  7. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

    Text Solution

    |

  8. The differential equation of all circles which pass through origin and...

    Text Solution

    |

  9. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  10. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

    Text Solution

    |

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

    Text Solution

    |

  12. The differential equation of family of circles with fixed radius 5 uni...

    Text Solution

    |

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

    Text Solution

    |

  14. Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt...

    Text Solution

    |

  15. The general solution of y^(2)dx + (x^(2)-xy +y^(2)) dy = 0 is

    Text Solution

    |

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

    Text Solution

    |

  17. Integrating factor of the differential equation cos x dy/dx + y sin x ...

    Text Solution

    |

  18. The differential equation dy/dx+Py = Qy^(n), n gt 2 can be reduced to ...

    Text Solution

    |

  19. The function f (theta) = d/d theta int0^(theta) dx/(1-cos theta cosx) ...

    Text Solution

    |

  20. The solution of the differential equation (1+x^(2)) dy.dx +1 + y^(2) =...

    Text Solution

    |