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

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

A

`x^(2) + y^(2) + 6x - 7 = 0`

B

`x^(2) + y^(2) - 6x - 7 = 0`

C

`x^(2) + y^(2) - 6x - 25 = 0`

D

`x^(2) + y^(2) + 6x + 25 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Equation of the curve passing through the point (4,3) and having slope = y/2 at a point (x,y) on it is

The slope of a curve at any point on it is the reciprocal of twice of ordinate at that point. If the curve passes through (4,3) then the equation is

Equation of the curve passing through the point (a,1) and has length of subtangent = a is

At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve is increasing

The normal to the curve x=a(1+costheta),y=asintheta at 'theta' always passes through the fixed point

The centre of the circle passing through the point (0, 1) and touching the curve y=x^(2) at (2, 4) is

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. A curve C has the property that if the tangent drawn at any point 'P' ...

    Text Solution

    |

  2. The normal to a curve at P(x,y) meets the x-axis at G. If the distance...

    Text Solution

    |

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

    Text Solution

    |

  4. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

    Text Solution

    |

  5. The solution of (dy)/(dx) = (y^(2))/(xy - x^(2)) is

    Text Solution

    |

  6. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

    Text Solution

    |

  7. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

    Text Solution

    |

  8. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

    Text Solution

    |

  9. The general solution of the differential equation x^2 y dx - (x^3 + y^...

    Text Solution

    |

  10. The solution of the differential equation xy' = 2xe^(-y//x) + y is

    Text Solution

    |

  11. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is

    Text Solution

    |

  12. The solution of (dy)/(dx) = (x + y +1)/(x + y -1) is

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

    Text Solution

    |

  14. The solution of cos^(2) x (dy)/(dx) + y = tan x is

    Text Solution

    |

  15. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

    Text Solution

    |

  16. The general solution of (y^(5)+x)(dy)/(dx) = y is

    Text Solution

    |

  17. The solution of x^(2) (dy)/(dx) + (x-2) y = x^(2) e^(-2//x) is

    Text Solution

    |

  18. The solution of cos x(dy)/(dx) + y = sin x is

    Text Solution

    |

  19. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

    Text Solution

    |

  20. The solution of y dx - x dy + log x dx = 0 is

    Text Solution

    |