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)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the pair of tangents drawn from (3,2) to the circle x^(2) + y^...

    Text Solution

    |

  11. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  12. The angle between the tangents drawn from (0,0) to the circle x^(2)+y^...

    Text Solution

    |

  13. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  14. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  15. The condition that the pair of tangents drawn from the origin to the c...

    Text Solution

    |

  16. The condition that the pair of tangents drawn from the origin to the c...

    Text Solution

    |

  17. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  18. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

    Text Solution

    |

  19. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

    Text Solution

    |

  20. The parametric equation of the circle (x-3)^(2)+(y-2)^(2)=100 are

    Text Solution

    |