Home
Class 12
MATHS
The lacus of the middle points of the ch...

The lacus of the middle points of the chords of the parabola `y^(2)=4ax` which pass through the facus, is

Text Solution

Verified by Experts

The correct Answer is:
`y^2=12/343(x-6)^2`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The locus of the middle points of the chords of the parabola y^(2)=4ax which pass through the focus, is

The locus of the middle points of the chords of the parabola y^(2)=4ax , which passes through the origin is :

The locus of the middle points of the focal chord of the parabola y^(2)=4ax , is

The locus of the middle points of normal chords of the parabola y^(2)=4ax is-

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

The locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is

Prove that the locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is the parabola y^(2)=2ax

ARIHANT MATHS-PARABOLA-Exercise For Session 2
  1. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |

  2. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

    Text Solution

    |

  3. Prove that any three tangents to a parabola whose slopes are in harmon...

    Text Solution

    |

  4. prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  5. Find the equation of the normal to the parabola y^2=4x which is para...

    Text Solution

    |

  6. Find the equation of the normal to the parabola y^2=4x which is perp...

    Text Solution

    |

  7. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

    Text Solution

    |

  8. The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on th...

    Text Solution

    |

  9. The normals are drawn from (2lamda,0) to the parabola y^2=4x .Show tha...

    Text Solution

    |

  10. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

    Text Solution

    |

  11. The angle between the tangents drawn from the origin to the parabola y...

    Text Solution

    |

  12. IF (a,b) is the mid point of chord passing through the vertex of the p...

    Text Solution

    |

  13. The diameter of the parabola y^2=6x corresponding to the system of par...

    Text Solution

    |

  14. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

    Text Solution

    |

  15. for parabola x^2+y^2+2xy−6x−2y+3=0, the focus is (a) (1,-1) (b) (-1,1...

    Text Solution

    |

  16. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

    Text Solution

    |

  17. A ray of light moving parallel to the X-axis gets reflected from a par...

    Text Solution

    |

  18. The locus of the point of intersection of the tangents to the parabola...

    Text Solution

    |

  19. The lacus of the middle points of the chords of the parabola y^(2)=4ax...

    Text Solution

    |

  20. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

    Text Solution

    |