Home
Class 12
MATHS
Coordinates of the centre of the circle ...

Coordinates of the centre of the circle which bisects the circumferences of the circles `x^2 + y^2 = 1; x^2 + y^2 + 2x - 3 = 0` and `x^2 + y^2 + 2y-3 = 0` is

A

)-2, 1)

B

(-2, -1)

C

(2, -1)

D

(2, 1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 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 locus of the centre of the circle which bisects the circumferences of the circles x^(2)+y^(2)=4&x^(2)+y^(2)-2x+6y+1=0 is :

Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of the circle x^2 + y^2 - 8x-6y+23=0

Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0 then c+d

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

Find the centre and radius of the circles : 3x^2 + 3y^2 + 12x - 18y - 11=0

If the circle x^(2)+y^(2)=4 bisects the circumference of the circle x^(2)+y^(2)-2x+6y+a=0 , then 'a' equals

If the circle 3x^(2)+3y^(2)+10x+y-27=0 bisects the circumference of the circle x^(2)+y^(2)=k then k^(2)-1=

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If a circle passes through the point (a, b) and cuts the circle x^2 + ...

    Text Solution

    |

  2. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  3. Coordinates of the centre of the circle which bisects the circumferenc...

    Text Solution

    |

  4. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

    Text Solution

    |

  5. The points of contact of tangents to the circle x^(2)+y^(2)=25 which a...

    Text Solution

    |

  6. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

    Text Solution

    |

  7. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  8. The tangent at P, any point on the circle x^2 +y^2 =4 , meets the coor...

    Text Solution

    |

  9. The equation of the circle which touches the axes of coordinates and ...

    Text Solution

    |

  10. If the chord of contact of the tangents from a point on the circle x^2...

    Text Solution

    |

  11. If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0, t...

    Text Solution

    |

  12. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

    Text Solution

    |

  13. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

    Text Solution

    |

  14. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

    Text Solution

    |

  15. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

    Text Solution

    |

  16. The equation of the circle having its centre on the line x+2y-3=0 and ...

    Text Solution

    |

  17. The equation of the circumcircle of the triangle formed by the lines y...

    Text Solution

    |

  18. The equation x^(2)+y^(2)+4x+6y+13=0 represents

    Text Solution

    |

  19. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

    Text Solution

    |

  20. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |