Home
Class 12
MATHS
The normal to a given curve at each poin...

The normal to a given curve at each point `(x ,y)` on the curve passes through the point `(3,0)dot` If the curve contains the point `(3,4),` find its equation.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

The normal lines to a given curve at each point pass through (2,0)dot The curve pass through (2,3) . Formulate the differntioal equation and hence find out the equation of the curve.

Find the equation of the curve which passes through the point (3,-4) and has the slope (2y)/x at any point (x , y) on it.

Find the gradient of the line passing through the point (2,8) and touching the curve y=x^3.

The number of normals to the curve 3y ^(3) =4x which passes through the point (0,1) is

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

A curve passes through the point (0,1) and the gradient at (x,y) on it is y(xy-1) . The equation of the curve is

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

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

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

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the equation to the curve satisfying x(x+1)(dy)/(dx)-y=x(x+1) and...

    Text Solution

    |

  2. The curve is such that the length of the perpendicular from the ori...

    Text Solution

    |

  3. The normal to a given curve at each point (x ,y) on the curve passes t...

    Text Solution

    |

  4. Radium decomposes at a rate proportional to the quantity of radium ...

    Text Solution

    |

  5. Find the equation of a curve passing through the point (0, 1). If t...

    Text Solution

    |

  6. Form the differential equation corresponding to y^2=m(a^2-x^2) by eli...

    Text Solution

    |

  7. Form the differential equation not containing the arbitrary constan...

    Text Solution

    |

  8. if (log)a x=b for permissible values of a and x then identify the stat...

    Text Solution

    |

  9. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

    Text Solution

    |

  10. In each of the following differential equations indicate its degree,...

    Text Solution

    |

  11. Form the differential equation of the family of curves represented ...

    Text Solution

    |

  12. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  13. Show that the differential equation that represents the family of al...

    Text Solution

    |

  14. Find the differential equation of All non-vertical lines in a plane.

    Text Solution

    |

  15. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

  16. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

    Text Solution

    |

  17. Solve the following differential equations: (dy)/(dx)+(4x)/(x^2+1)y+1/...

    Text Solution

    |

  18. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |

  19. Solve each of the following initial value problems sqrt(1-y^2)dx=...

    Text Solution

    |

  20. Solve the following differential equations: x(dy)/(dx)+y=x e^x

    Text Solution

    |