Home
Class 12
MATHS
The equation to the locus of the midpoin...

The equation to the locus of the midpoints of chords of the circle `x^(2)+y^(2)=r^(2)` having a constant length 2l is

A

`x^(2)+y^(2)-l^(2)-r^(2)`

B

`x^(2)+y^(2)=r^(2)-l^(2)`

C

`x^(2)+y^(2)=4l^(2)`

D

`x^(2)+y^(2)=l^(2)+r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The equation to the locus of the midpoints of chords of the circle x^(2)+y^(2)-8x+6y+20=0 which are parallel to 3x+4y+5=0 is

The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 which substends a right angle at the origin is

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passing through the origin is

Find the locus of midpoint of chords of the circle x ^(2) + y ^(2) = r^(2) , substending a right angle at the point (a,b)

The locus of the midpoints of chords of the hyperbola 3x^(2)-2y^(2)+4x-6=0 which are parallel to y= 2x is

The locus of the mid-points of the chords of the circle x^(2) + y^(2) = 16 which are the tangents to the hyperbola 9x^(2) - 16y^(2) = 144 is

AAKASH SERIES-CIRCLES-EXERCISE II
  1. Locus of mid points of chords to the circle x^(2)+y^(2)-8x+6y+20=0 whi...

    Text Solution

    |

  2. From origin chords are drawn to the cirlce x^(2)-y^(2)-2px=0 then locu...

    Text Solution

    |

  3. The equation to the locus of the midpoints of chords of the circle x^(...

    Text Solution

    |

  4. The locus of the midpoint of the chord of the circle x^(2)+y^(2)-2x-2y...

    Text Solution

    |

  5. Let C be the circle with centre (0,0) and radius 3 units. The equation...

    Text Solution

    |

  6. From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0, a chord AB i...

    Text Solution

    |

  7. The parametric equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(...

    Text Solution

    |

  8. If (pi)/6 and (pi)/2 are the ends of chord of the circle x^(2)+y^(2)=1...

    Text Solution

    |

  9. If a straight line through C(-sqrt(8),sqrt(8)) making an asngle 135^(@...

    Text Solution

    |

  10. The loucs of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  11. The locus of a point which divides the join of A(-1,1) and a variable ...

    Text Solution

    |

  12. If the two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0...

    Text Solution

    |

  13. Ilf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)4x-4y+lamda=0 have exactly...

    Text Solution

    |

  14. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

    Text Solution

    |

  15. The common tangents to the circles x^(2)+y^(2)-6x=0, x^(2)+y^(2)+2x=0 ...

    Text Solution

    |

  16. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

    Text Solution

    |

  17. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

    Text Solution

    |

  18. The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each ...

    Text Solution

    |

  19. If the distance between the centres of two circles of radio 3,4 is 25 ...

    Text Solution

    |

  20. Lengths of common tangents of the circles x^(2)+y^(2)=6x,x^(2)+y^(2)+2...

    Text Solution

    |