Home
Class 12
MATHS
If a is an arbitrary constant, then solu...

If a is an arbitrary constant, then solution of the different equation `dy/dx + sqrt((1-y^(2))/(1-x^(2))) = 0`is

A

`x sqrt(1-y^(2)) + ysqrt(1-x^(2)) = a`

B

`y sqrt(1-y^(2)) + xsqrt(1-x^(2)) = a`

C

`x sqrt(1-y^(2)) - ysqrt(1-x^(2)) = a`

D

`y sqrt(1-y^(2)) - x sqrt(1-x^(2)) = a`

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 solution of the differential equation xsqrt(1-y^(2)) dx+y sqrt(1-x^(2)) dy = 0

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

The general solution of dy/dx + sqrt((1-y^(2))/(1-x^(2))) = 0 is

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

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

The general solution of the differential equation sqrt(1-x^(2)y^(2)).dx =y.dx+ x.dy is

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

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The function f (theta) = d/d theta int0^(theta) dx/(1-cos theta cosx) ...

    Text Solution

    |

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

    Text Solution

    |

  3. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

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

    Text Solution

    |

  5. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  6. The general solution of dy/dx + sqrt((1-y^(2))/(1-x^(2))) = 0 is

    Text Solution

    |

  7. The solution of cos(x+y)dy = dx is

    Text Solution

    |

  8. The integrating factor of the differential equation : (dy)/(dx)(xlo...

    Text Solution

    |

  9. The solution of dy/dx + 2y tan x = sin x is

    Text Solution

    |

  10. Solution of the differential equation xdy-ydx =0 represents

    Text Solution

    |

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

    Text Solution

    |

  12. The solution of the differential equation dy/dx - tany/x = (tan y sin ...

    Text Solution

    |

  13. The differential equation of family of curves x^(2)+y^(2)-2ax = 0 is

    Text Solution

    |

  14. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

    Text Solution

    |

  15. The solution of the equation dy/dx = (x+y)/(x-y) is

    Text Solution

    |

  16. The solution of the differential equation (x^(2)-yx^(2)) dy/dx + y^(2)...

    Text Solution

    |

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

    Text Solution

    |

  18. If a is an arbitrary constant, then solution of the different equation...

    Text Solution

    |

  19. A curve having the condition that the slope of the tangent at some poi...

    Text Solution

    |

  20. The differential equation of the family of circles passing through the...

    Text Solution

    |