Home
Class 12
MATHS
Let C(1) be the curve obtained by the so...

Let `C_(1)` be the curve obtained by the solution of differential equation `2xy(dy)/(dx)=y^(2)-x^(2),xgt0` Let the curve `C_(2)` be the solution of `(2xy)/(x^(2)-y^(2))=(dy)/(dx)`. If both the curves pass through (1, 1), then the area enclosed by the curves `C_(1)` and `C_(2)` is equal to :

A

`(pi)/(2)-1`

B

`(pi)/(4)+1`

C

`pi-1`

D

`pi+1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

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

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

The solution of the differential equation (x^(2)y^(2)-1)dy+2xy^(3)dx=0 is

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

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

Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

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

Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^(2)y^(2) is

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

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-Mathematic section A
  1. Let C be the locus of the mirror image of a point on the parabola y^(2...

    Text Solution

    |

  2. Let veca=hati+2hatj-3hatk and vecb=2hati-3hatj+5hatk. If vecrxxveca=ve...

    Text Solution

    |

  3. Let (x,y,z) be an arbitrary point lying on a plane P which passes thro...

    Text Solution

    |

  4. Let f be a real valued function, defined on R-{-1, 1} and given by f(x...

    Text Solution

    |

  5. Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4,...

    Text Solution

    |

  6. Let C, be the curve obtained by the solution of differential equation ...

    Text Solution

    |

  7. The least value of |z| where z is complex number which satisfies the i...

    Text Solution

    |

  8. Let C(1) be the curve obtained by the solution of differential equatio...

    Text Solution

    |

  9. Let A(-1, 1), B(3, 4) and C(2,0) be given three points. A line y=mx,mg...

    Text Solution

    |

  10. Let f:StoS where S=(0,oo) be a twice differentiable function such that...

    Text Solution

    |

  11. Let the lengths of intercepts on x-axis and y-axis made by the circle ...

    Text Solution

    |

  12. Given that the inverse trigonometric functions take principal values o...

    Text Solution

    |

  13. If the foot of the perpendicular from point (4, 3,8) on the line L(1):...

    Text Solution

    |

  14. Let A = (1,2, 3, 4, 5, ..., 30) and ~=be an equivalence relation on Ax...

    Text Solution

    |

  15. Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of ...

    Text Solution

    |

  16. Let P(x)=x^(2)+bx+c be a quadratic polynomial with real coefficients s...

    Text Solution

    |

  17. Consider the integral I=int(0)^(10)([x]e^([x]))/(e^(x-1))dx, where [x]...

    Text Solution

    |

  18. Let alphainR be such that the function f(x)={{:((cos^(-1)(1-{x}^(2))si...

    Text Solution

    |

  19. The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos...

    Text Solution

    |

  20. If the points of intersections of the ellipse (x^(2))/(16)+(y^(2))/(b^...

    Text Solution

    |