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

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

A

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

B

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

C

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

D

Does not exists

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

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

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

The chords of the curve 3x^(2)-y^(2)-2x+4y=0 subtend a right angle at the origin. Prove that all such chords are concurrent at a point.

From a point A(3,2) , tangents are drawn to the circle x^2+y^2-2x+4y-4=0 . If BC is the chord of contact of tangents , show that the line joining the midpoints of AB and AC is 4x+8y-17=0

The length of the chords of the circle x^(2)+y^(2)-2x-6y-15=0 which makes an angle of 60^(@) at (1,3) and the locus of the midpoints of all such chords are

The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (1,-2) as it midpoint is

From a variable point P tangents are drawn to the ellipse 4x^(2) + 9y^(2) = 36 . If the chord of contact is bisected by the line x + y = 1, find the locus of P.

AAKASH SERIES-CIRCLES-EXERCISE II
  1. The locus of the mid points of the chords of x^(2)+y^(2)=a^(2) which ...

    Text Solution

    |

  2. Locus of mid points of chords to the circle x^(2)+y^(2)-8x+6y+20=0 whi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |