Home
Class 12
MATHS
A normal at P(x , y) on a curve meet...

A normal at `P(x , y)` on a curve meets the x-axis at `Q` and `N` is the foot of the ordinate at `Pdot` If `N Q=(x(1+y^2))/(1+x^2)` , then the equation of curve given that it passes through the point `(3,1)` 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

Find the equation of the normal to curve x^(2) = 4y which passes through the point (1, 2).

Find the equation of the normal to the curve x^(2)=4y, which passes through the point (1,2).

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis and the y-axis in point A AND B , respectively, such that 1/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5, 4)

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 equation of the curves through the point (1, 0) and whose slope is (y-1)/(x^2+x) is

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

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

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 tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The equation of a curve passing through (2,7/2) and having gradien...

    Text Solution

    |

  2. The equation of the curve which is such that the portion of the axi...

    Text Solution

    |

  3. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

    Text Solution

    |

  4. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  5. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  6. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  7. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

  8. Which of the following is not the differential equation of family of c...

    Text Solution

    |

  9. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

    Text Solution

    |

  10. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

    Text Solution

    |

  11. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  12. The differential equation of all parabolas each of which has a latu...

    Text Solution

    |

  13. The solution of differential equation xy.dy/(dx)=(x+2)(y+2) is given b...

    Text Solution

    |

  14. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  15. find equation of normal at point (am^2, am^3) to the curve ay^2=x^3

    Text Solution

    |

  16. The equation of a curve passing through (1,0) for which the product...

    Text Solution

    |

  17. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  18. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  19. The solution to the differential equation ylogy+x y^(prime)=0, where ...

    Text Solution

    |

  20. The form of the differential equation of the central conics a x^2+b...

    Text Solution

    |