Home
Class 12
MATHS
The equation of the circle having its ce...

The equation of the circle having its centre on the line x +2y - 3 = 0 and passing through the points of intersection of the circles `x^2 + y^2 - 2x - 4y +1 = 0` and `x^2+y^2 -4x -2y +4=0` is :

A

`x^2+y^2 -6x +7=0`

B

`x^2+y^2 -3x +4 =0`

C

`x^2+y^2 -2x-2y+1=0`

D

`x^2+y^2 +2x -4y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

The equation of the circle having centre (1, 2) and passing through the point of intersection of the lines: 3x+y=14 and 2x+5y=18 is :

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .

Find the equation of the line parallel to the line 3x -4y + 2=0 and passing through the point ( -2,3)

The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 and passing through the point (-2,-1) is

The equation of the circle concentric with the circle x^(2)+y^(2)+4 x-2 y+3=0 and passing thro (-2,-3) is

Find the equation of the circle having (1,-2) as its centre and passing through the intersection of the lines 3x+y=14 and 2x+5y=18.

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

The equation of the diameter of the circle x^(2)+y^(2)+6 x-4 y-2=0 , passing through the point (2,-3) is

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

    Text Solution

    |

  2. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  5. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

    Text Solution

    |

  6. The locus of the centre of a circle which cuts orthogonally the circle...

    Text Solution

    |

  7. Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 ...

    Text Solution

    |

  8. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

  9. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

    Text Solution

    |

  10. The radius of the smallest circle, which passes through the points of ...

    Text Solution

    |

  11. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

    Text Solution

    |

  12. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  13. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  14. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  15. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

    Text Solution

    |

  16. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  17. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  18. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |

  19. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

  20. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |