Home
Class 12
MATHS
Find the locus of the middle points of t...

Find the locus of the middle points of the chords of the parabola `y^2=4a x` which subtend a right angle at the vertex of the parabola.

Promotional Banner

Topper's Solved these Questions

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos
  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos
  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the middle points of the chords of the parabola y^(2)=4ax which subtend a right angle at the vertex of the parabola.

Find the locus of the mid-points of the chords of the parabola y^(2)=4ax which subtend a right angle at vertex of the parabola.

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

A DAS GUPTA-Parabola-EXERCISE
  1. Show that the locus of points such that two of the three normals drawn...

    Text Solution

    |

  2. Prove that the locus of the point of intersection of the normals at th...

    Text Solution

    |

  3. Find the locus of the middle points of the chords of the parabola y^2=...

    Text Solution

    |

  4. If two tangents to the parabola y^2=4ax from a point P make angles ...

    Text Solution

    |

  5. Locus of the feet of the perpendiculars drawn from vertex of the parab...

    Text Solution

    |

  6. If the focus =(2,3)and directrix is x+y=1 then the equation of the par...

    Text Solution

    |

  7. The line x+y+1=0touches the parabola y^2=kx if k=.

    Text Solution

    |

  8. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  9. Write the length of het chord of the parabola y^2=4a x which passes th...

    Text Solution

    |

  10. Find the condition that the line x cosalpha + y sin alpha=p touches th...

    Text Solution

    |

  11. The point of intersection of the tangents at the ends of the latus ...

    Text Solution

    |

  12. Find the angle between the tangents drawn from (1, 3) to the parabola ...

    Text Solution

    |

  13. Find the equation of the circle described on the line segment joining ...

    Text Solution

    |

  14. A double ordinate of the parabola y^2 = 8px is of length 16p. The angl...

    Text Solution

    |

  15. The equation of parabola whose vertex and focus lie on the axis of x a...

    Text Solution

    |

  16. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

    Text Solution

    |

  17. If the tangents to the parabola y^2=4axat the points (x1,y1)and ((x2,y...

    Text Solution

    |

  18. Find the condition that the line x cosalpha + y sin alpha=p touches th...

    Text Solution

    |

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

    Text Solution

    |

  20. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |