Home
Class 12
MATHS
The slope of the tangent at (x , y) to ...

The slope of the tangent at `(x , y)` to a curve passing through a point `(2,1)` is `(x^2+y^2)/(2x y)` , then the equation of the curve is

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

If the slope of the tangent at (x,y) to a curve passing through the point (2,1) is (x^(2)+y^(2))/(2xy) , then the equation of the curve is-

The slope of the tangent at (x, y) to a curve passing through (1, (pi)/(4) ) is given by (y)/(x) - cos^(2) ((y)/(x)) , then the equation of the curve is-

The slope of the tangent at (x , y) to a curve passing through (1,pi/4) is given by y/x-cos^2(y/x), then the equation of the curve is

The slope of the tangent to the curve y=2sqrt2x

If the gradient of the tangent at any point (x,y) of a curve which passes through the point (1, (pi)/(4)) is {(y)/(x)-sin^(2)((y)/(x))} , then the equation of the curve is-

The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4x+6y+5) . If the curve passes through (0,-1), find the equation of the curve.

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.

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

The slope of a curve at ( x,y) is 2x+1 . If the curve passes through the point (-4,2) , find the equation of the curve .

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of (y+x+5)dy=(y-x+1)dx is

    Text Solution

    |

  2. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

    Text Solution

    |

  3. The slope of the tangent at (x , y) to a curve passing through a p...

    Text Solution

    |

  4. If x(dy)/(dx)=x^(2)+y-2, y(1)=1, then y(2) equals ………………..

    Text Solution

    |

  5. If y=y(x) and it follows the relation 4x e^(x y)=y+5sin^2x , then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |