Home
Class 12
MATHS
The solution of the equation (dy)/(dx)=...

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

A

`sin^(-1)y=(1)/(2)sqrt(1-x^(2))+(1)/(2)sin^(-1)x+c`

B

`sin^(-1)y=(1)/(2)sqrt(1-x^(2))+(1)/(2)sin^(-1)x+c`

C

`sin^(-1)y=(1)/(2)x sqrt(1-x^(2))+(1)/(4)cos^(-1)x+c`

D

`sin^(-1)y=(1)/(2)x sqrt(1-x^(2))+(1)/(2)sin^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

The solution of the equation dy/dx - 3 y = sin 2x is -

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

The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2x y^2, given y(1)=pi/2, is

The solution of the differential equation y(dy)/(dx)=x[(y^(2))/(x^(2))+(phi((y^(2))/(x^(2))))/(phi'((y^(2))/(x^(2))))] is (where c is a constant)-

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The value of int(dx)/(2sqrt(x)(x+1)) is -

    Text Solution

    |

  2. The value of the integral int(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is...

    Text Solution

    |

  3. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

    Text Solution

    |

  4. The value of int(0)^(1000)e^(x-[x])dx is equal to -

    Text Solution

    |

  5. int(0)^(2a)f(x)dx is equal to -

    Text Solution

    |

  6. int sin^(3)x cos x dx is equal to -

    Text Solution

    |

  7. The value of int(0)^(1)sin[2tan^(-1)sqrt((1+x)/(1-x))]dx is equal to -

    Text Solution

    |

  8. The value of int sqrt(1+"sin"(x)/(4))dx is equal to -

    Text Solution

    |

  9. The value of int((1)/(e ))^(e )|log x|dx is equal to -

    Text Solution

    |

  10. If f(t) is an odd function, then int(0)^(x)f(t) dt is -

    Text Solution

    |

  11. The value of int((pi)/(4))^((3pi)/(4))(dx)/(1+cosx) is -

    Text Solution

    |

  12. The solution of the differential equation (x+2y^(3))(dy)/(dx)=y is -

    Text Solution

    |

  13. The integrating factor of linear differential equation (dy)/(dx)+y tan...

    Text Solution

    |

  14. The order and degree of the differential equation representing the fam...

    Text Solution

    |

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

    Text Solution

    |

  16. The degree of the differential equation (dy)/(dx)-x=(y - x(dy)/(dx))^(...

    Text Solution

    |

  17. The solution of the equation (dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2))...

    Text Solution

    |

  18. The solution of the equation (dy)/(dx)=(xlogx^(2)+x)/(sin y+y cosy) is...

    Text Solution

    |

  19. The solution of the differential equation y dx+(x+x^(2)y)dy=0 is -

    Text Solution

    |

  20. The solution of the differential equation e^((dy)/(dx))=x+1, when y(0)...

    Text Solution

    |