Home
Class 12
MATHS
A curve C passes through (2,0) and th...

A curve `C` passes through (2,0) and the slope at `(x , y)` as `((x+1)^2+(y-3))/(x+1)dot` Find the equation of the curve. Find the area bounded by curve and x-axis in the fourth quadrant.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curve f(x) =4-|x| and the x axis

Find the area of the region bounded by the curve y=(x-1)(5-x) and x-axis.

Find the area bounded by the curve y^(2) = 4x the x-axis and the ordinate at x=4

Find the area bounded by the curve y=4x(x-1)(x-2) and the x-axis.

Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.

A curve passes through the point (3,-4) and the slope of the tangent to the curve at any point (x,y) is (-(x)/(y)) . Find the equation of the curve.

Find the area in the fourth quadrant bounded by the curve y= x^(3) -8 and the coordinate axes

Find the area of the region bounded by the curve y=cos x , x axis and the ordinates x=0 and x=2pi

Find the area bounded by the curve x^2=y ,x^2=-y and y^2=4x-3

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. If y=y(x) and it follows the relation 4x e^(x y)=y+5sin^2x , then ...

    Text Solution

    |

  2. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |

  3. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  4. Solve the differential equation x y(dx)/(y dx)=(1+y^2)/(1+x^2)(1+x+x^2...

    Text Solution

    |

  5. Statement 1 : The differential equation of all circles in a plane mu...

    Text Solution

    |

  6. In which of the following differential equation degree is not define...

    Text Solution

    |

  7. Statement 1 : Degree of the differential equation 2x-3y+2=log((dy)/(dx...

    Text Solution

    |

  8. Statement 1 : The differentia equation of the family of curves repr...

    Text Solution

    |

  9. Statement 1 : The order of the differential equation whose general s...

    Text Solution

    |

  10. Statement 1 : Order of a differential equation represents the number...

    Text Solution

    |

  11. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  12. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  13. Determine the equation of the curve passing through the origin, in ...

    Text Solution

    |

  14. Let f(x), xge0, be a non-negative continous function,and let F(x) = in...

    Text Solution

    |

  15. A hemi-spherical tank of radius 2 m is initially full of water and h...

    Text Solution

    |

  16. A curve C has the property that if the tangent drawn at any point P...

    Text Solution

    |

  17. A country has a food deficit of 10%. Its population grows continuously...

    Text Solution

    |

  18. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  19. Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x, where |x|< ...

    Text Solution

    |

  20. If integrating factor of x(1-x^2)dy+(2x^2y-y-a x^3)dx=0 is e^(intp ...

    Text Solution

    |