Home
Class 12
MATHS
From the origin chords are drawn to the ...

From the origin chords are drawn to the circle `x^(2)+y^(2)-2y=0`. The locus of the middle points of these chords is

A

`x^(2)+y^(2)-y=0`

B

`x^(2)+y^(2)-x=0`

C

`x^(2)+y^(2)-2x=0`

D

`x^(2)+y^(2)-x-y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|5 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 then equation of locus of mid ponts of these chords is

From origin chords are drawn to the cirlce x^(2)-y^(2)-2px=0 then locus of midpoints of all such chords is

From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 . Show that the equation of the locus of the mid points of these chords is x^(2)+y^(2)=x=0

Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to the circle x^(2)+y^(2)=9 . Then show that the locus of the mid point of the chord of contact is (x^(2)+y^(2))^(2)=81 (x^(2)/9-y^(2)/4)

Angle between tangents at the ends chords of circle (x-1)^(2)+(y-2)^(2)=16 is 60^(@) then locus of midpoints of all such chords is

The locus of the foot of the perpendicular drawn from the origin to any chord of the circle x^(2)+y^(2)+2gx+2fy+c=0 which substents a right angle at the origin is

(-2,3) is the middle point of chord AB of the circle x^(2) +y^(2) = 81 . The equation the circle through the point A, B and (0,1) is

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passi...

    Text Solution

    |

  2. The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which...

    Text Solution

    |

  3. From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0. The l...

    Text Solution

    |

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

    Text Solution

    |

  5. The equation of the straight line meeting the circle x-3y-15=0 and whi...

    Text Solution

    |

  6. The equation of the straight line meeting the circle x^(2)+y^(2)=a^(2)...

    Text Solution

    |

  7. If OA, OB are two equal chords of the circle x^(2)+y^(2)-2x+4y=0 perpe...

    Text Solution

    |

  8. Let AB be the chord 4x-3y+5=0 with respect to the circle x^(2)+y^(2)-2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=25 whi...

    Text Solution

    |

  12. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The length of the chords of the circle x^(2)+y^(2)-2x-6y-15=0 which ma...

    Text Solution

    |

  16. The loucs of the midpoints of the chords of the circle 4x^(2)+4y^(2)-1...

    Text Solution

    |

  17. The locus of the midpoints of chords of the circle x^(2)+y^(2)-6x+8y-2...

    Text Solution

    |

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

    Text Solution

    |

  19. (a,b) is the midpoint of the chord AB of the circle x^(2)+y^(2)=r^(2)....

    Text Solution

    |

  20. Find the equation of the pair of tangents from (10,4) to the circle ...

    Text Solution

    |