Home
Class 12
MATHS
The equation of normal to y^(2) = 4ax at...

The equation of normal to `y^(2) = 4ax` at the point of contact of a Tangent `((a)/(m^(2)),(2a)/(m))` is

A

`y= mx-2am-am^(3)`

B

`m^(3)y=m^(3)x-2am^(2)-a`

C

`m^(3) y=2 am^(2) m^(2)x+a`

D

`m^(3)y+2am^(2)-a`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

The feet of the normals to y^(2)= 4ax from the point (6a,0) are

The equation of the tangent to the parabola y^(2) = 4x at the point t is

The equation of the normal to the curve y^2=4ax at (at^2,2at) is

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

The point of contact of x-2y+4a=0 to the parabola y^(2)=4ax is

The point of contact of 2x-y+2 =0 to the parabola y^(2)=4ax is

Show that the line x-2y + 4a = 0 touches y^(2) = 4ax. Also find the point of contact

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the...

    Text Solution

    |

  2. Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

    Text Solution

    |

  3. The equation of normal to y^(2) = 4ax at the point of contact of a Ta...

    Text Solution

    |

  4. The angle between normals to y^(2) = 24x at the points (6, 12) and (6,...

    Text Solution

    |

  5. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

    Text Solution

    |

  6. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

    Text Solution

    |

  7. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

    Text Solution

    |

  8. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

    Text Solution

    |

  9. Number of distinct normals that can be drawn from ((11)/(4),(1)/(4)) t...

    Text Solution

    |

  10. The number of normals drawn to the parabola y^(2)=4x from the point (1...

    Text Solution

    |

  11. The condition that the line lx +my+n =0 to be a normal to y^(2)=4ax is

    Text Solution

    |

  12. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax is

    Text Solution

    |

  13. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax then k=

    Text Solution

    |

  14. If the normals at (x(1),y(1)) and (x(2) ,y(2)) on y^(2) = 4ax meet ag...

    Text Solution

    |

  15. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  16. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

    Text Solution

    |

  17. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

    Text Solution

    |

  18. If the normal subtends a right angle at the focus of the parabola y^(2...

    Text Solution

    |

  19. The normal at P(8, 8) to the parabola y^(2) = 8x cuts it again at Q th...

    Text Solution

    |

  20. If a normal chord of the parabola y^(2)=4x makes an angle of 45^(@) w...

    Text Solution

    |