Home
Class 12
MATHS
The circle x^2+y^2=4 cuts the circle x^2...

The circle `x^2+y^2=4` cuts the circle `x^2+y^2+2x+3y-5=0` in `A` and `B`, Then the equation of the circle on `AB` as diameter is

A

`13(x^(2)+y^(2))-4x-6y-50=0`

B

`9(x^(2)+y^(2))+8x-4y+25=0`

C

`x^(2)+y^(2)-5x+2y+72=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Exercise|132 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)+2x+3y-5=0 in A &B. Then the equation of the circle on AB as a diameter is:

The line 2x-y+6=0 meets the circle x^(2)+y^(2)-2y-9=0 at A and B. Find the equation of the circle on AB as diameter.

If x-y+1=0 meets thwe cicle x^(2)+y^(2)+y-1=0 at a and b, then the equation of the circle with ab as diameter, is

If the circle x^(2)+y^(2)+2x+3y+1=0 cuts x^(2)+y^(2)+4x+3y+2=0 at A and B ,then find the equation of the circle on AB as diameter.

If the circle x^(2)+y^(2)+3x+2y+1=0 cuts another circles x^(2)+y^(2)+3x+4y+2=0 in A and B ,then the equation of the circle with AB as a diameter is

The straight line x+y-1=0 meets the circle .x^(2)+y^(2)-6x-8y=0 at A and B . Then,the equation of : the circle of which AB is a diameter,is

If line y= 2x meets circle x^(2) + y^(2) - 4x = 0 in point A and B , then equation of circle of which AB is diameter is

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. The two circles x^(2)+y^(2)-2x-2y-7=0 and 3(x^(2)+y^(2))-8x+29y=0

    Text Solution

    |

  2. The centre of the circle passing through (0, 0) and (1, 0) and touchin...

    Text Solution

    |

  3. The circle x^2+y^2=4 cuts the circle x^2+y^2+2x+3y-5=0 in A and B, The...

    Text Solution

    |

  4. One of the limit point of the coaxial system of circles containing x^(...

    Text Solution

    |

  5. A circle touches y-axis at (0, 2) and has an intercept of 4 units on t...

    Text Solution

    |

  6. The equation of the circle whose one diameter is PQ, where the ordinat...

    Text Solution

    |

  7. The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal...

    Text Solution

    |

  8. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

    Text Solution

    |

  9. The angle between the pair of tangents from the point (1, 1/2) to the...

    Text Solution

    |

  10. The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...

    Text Solution

    |

  11. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  12. Locus of the middle points of chords of the circle x^2 + y^2 = 16 whic...

    Text Solution

    |

  13. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

    Text Solution

    |

  14. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

    Text Solution

    |

  15. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

    Text Solution

    |

  16. If the points A(2, 5) and B are symmetrical about the tangent to the c...

    Text Solution

    |

  17. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  18. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  19. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

    Text Solution

    |

  20. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |