Home
Class 12
MATHS
The locus of the mid points of parallel ...

The locus of the mid points of parallel chords of an ellipse is a strraight line

A

A) parallel to the major axis

B

B) parallel to the minor axis

C

C) passing through one focus

D

D) passing through the center

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

If the locus of the mid points of the chords of the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 , drawn parallel to y=m_1x is y=m_2x then m_1m_2=

The locus of the mid points of the chords of the prarabola x^(2) =4py having slope m is a

The locus of the mid points of the chords of x^(2)+y^(2)=a^(2) which are at a distance d(lta) from centre is

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

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  2. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |

  3. The locus of the mid points of parallel chords of an ellipse is a strr...

    Text Solution

    |

  4. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

    Text Solution

    |

  5. A point moves such that the distance from the point (2,0) is always 1...

    Text Solution

    |

  6. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

    Text Solution

    |

  7. The nature of inter cepts made on the axes by the tangent at the point...

    Text Solution

    |

  8. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

    Text Solution

    |

  9. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

    Text Solution

    |

  10. The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the rea...

    Text Solution

    |

  11. If S and S' are the foci of the ellipse (x^(2))/( 25)+ ( y^(2))/( 16) ...

    Text Solution

    |

  12. If a tangent of slope 2 of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^...

    Text Solution

    |

  13. Statement 1: In a triangle ABC , If base BC is fixed and perimeter of ...

    Text Solution

    |

  14. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

    Text Solution

    |

  15. Statement 1: In an ellipse the sum of the distances between foci is al...

    Text Solution

    |

  16. Statement 1: Any chord of the conic x^(2) +y^(2) +xy = 1 through (0,0...

    Text Solution

    |

  17. Statement 1: The area of the ellipse 2x^(2) +3y^(2) =6 is more than t...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^(2) =16...

    Text Solution

    |

  19. The equation of the circle passing through the foci of the ellipse (x^...

    Text Solution

    |

  20. The locus of the foot of perpandicular drawn from the centre of the e...

    Text Solution

    |