Home
Class 12
MATHS
The locus of the midpoints oof chords of...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 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

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 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

Find the locus of the mid-point of the chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which subtends a right angle at the origin.

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax 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-PRACTICE EXERCISE
  1. Locus of midpoints of chords of circles x^(2)+y^(2)-4x-2y-4=0 which ar...

    Text Solution

    |

  2. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 then ...

    Text Solution

    |

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

    Text Solution

    |

  4. Angle between tangents at the ends chords of circle (x-1)^(2)+(y-2)^(2...

    Text Solution

    |

  5. The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

    Text Solution

    |

  6. The circle x^(2)+y^(2)2x+4y+4y=0,x^(2)+y^(2)+4x-2y+1=0 are

    Text Solution

    |

  7. The number of common tangents to x^(2)+y^(2)=1, x^(2)+y^(2)-6x-8y+24=0...

    Text Solution

    |

  8. The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 i...

    Text Solution

    |

  9. The internal cent re of similitude of two circles (x-2)^(2)+(y-3)^(2)=...

    Text Solution

    |

  10. The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y...

    Text Solution

    |

  11. It is not possible to find the equation of a cicle I: If radius cent...

    Text Solution

    |

  12. Read of the following two statements I: sqrt(3)x-y+4=0 is tangent to...

    Text Solution

    |

  13. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

    Text Solution

    |

  14. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

    Text Solution

    |

  15. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

    Text Solution

    |

  16. The equation to the circle whose radius is 3 and which touches interna...

    Text Solution

    |

  17. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

    Text Solution

    |

  18. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

    Text Solution

    |

  19. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  20. The area (in sq units) of the triangle formed by the tangent, normal a...

    Text Solution

    |