Home
Class 12
MATHS
The length of the common chord of x^2+y^...

The length of the common chord of `x^2+y^2+2hx=0 , x^2+y^2-2ky=0` is

A

`(hk)/sqrt(h^2-k^2)`

B

`(2hk)/sqrt(h^2+k^2)`

C

`(hk)/(h^2+k^2)`

D

`(2hk)/(h^2+k^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-II (Class work)|45 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Additional Exercise|18 Videos
  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

The equation of the circle described on the common chord of the circles x^2+y^2+2x=0, x^2+y^2+2y=0 as diameter is

The length of the common chord of the circles x^(2) + y^(2) + 2hx = 0 , x^(2) + y^(2) - 2ky = 0 is

Find the length of the common chord of the circle x^2+y^2+2hx+a^2=0 and x^2+y^2-2ky-a^2=0 .

The length of the common chord of the circles x^2+y^2+ax+by+c=0 and x^2+y^2+bx+ay+c=0 is

The length of the common chord of the circles x^(2) + y^(2) + 2hx + a^(2) = 0 , x^(2) + y^(2) - 2ky - a^(2) = 0 is

The length of the common chord of the circles x^(2) + y^(2) + 2gx + c = 0 and x^(2) + y^(2) + 2fy - c = 0 is

The length of the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1= 0 , x^(2) + y^(2) + 4x + 3y + 2 =0 is

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-I (Class work)
  1. If radii of two circles are 4 and 3 and distance between centres is sq...

    Text Solution

    |

  2. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

    Text Solution

    |

  3. The angle between two circles , each passing through the centre of the...

    Text Solution

    |

  4. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

    Text Solution

    |

  5. If the circles of same radii and with centres (2,3),(5,6) cut orthogon...

    Text Solution

    |

  6. The circle with centres (2,3) and intersecting x^2+y^2-4x+2y-7=0 ortho...

    Text Solution

    |

  7. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

    Text Solution

    |

  8. The locus of centres of the circles which cut the circles x^2+y^2+4x-6...

    Text Solution

    |

  9. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

    Text Solution

    |

  10. The equation of the radical axis of the pair of circles 7x^2+7y^2-7x+1...

    Text Solution

    |

  11. The common tangent at the point of contact of the two circles x^2+y^2...

    Text Solution

    |

  12. The distance from origin to the radical axis of the circles x^2+y^2-3x...

    Text Solution

    |

  13. Area of the triangle formed by the radical axis of the circles x^2+y^2...

    Text Solution

    |

  14. The circle orthogonal to the three circles x^2+y^2+ai x +bi y+c=0, (i=...

    Text Solution

    |

  15. The equation of the circle which cuts the three circles x^2+y^2-4x-6y+...

    Text Solution

    |

  16. The length of the common chord of two circles of radii r1 and r2 which...

    Text Solution

    |

  17. The length of the common chord of the circles of radii 15 and 20 whos...

    Text Solution

    |

  18. The length of the common chord of x^2+y^2+2hx=0 , x^2+y^2-2ky=0 is

    Text Solution

    |

  19. The equation of the circle passing through (1,2) and the points of int...

    Text Solution

    |

  20. The length of the common chord of the two circles (x-a)^2+y^2=a^2 and ...

    Text Solution

    |