Home
Class 12
MATHS
The equation of the circle having centre...

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 :

A

`x^(2)+y^(2)-2 x+4 y-20=0`

B

`x^(2)+y^(2)-2 x-4 y-20=0`

C

`x^(2)+y^(2)+2 x-4 y-20=0`

D

`x^(2)+y^(2)+2 x+4 y-20=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The equation of circle having centre at (2,2) and passes through the point (4,5) 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.

The equation of the line perpendicular to 5 x-2 y=7 and passing through the point of intersection of the lines 2 x+3 y=1 and 3 x+4 y=6 is

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 :

Find the equation of the circle with centre at (1,-2) and passing through the centre of the circle x^2+y^2-4x+1=0

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 " and " 3x + y = 0 .

The equation of the plane passing through (1,-1,1) and through the line of intersection of the planes, x+2 y-3 z+1=0 and 3 x-2 y+4 z+3=0 is

The equation of the circle which passes through the points of intersection of the circleS x^(2)+y^(2)-6 x=0 and x^(2)+y^(2)-6 y=0 and has centre at ((3)/(2), \(3)/(2)) is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the tangtnt to the circle x^(2)+y^(2)-2 x+8 y-23=0 ha...

    Text Solution

    |

  2. The equation of the circle in the first quadrant touching each co-ordi...

    Text Solution

    |

  3. The equation of the circle having centre (1, 2) and passing through th...

    Text Solution

    |

  4. The area of the circle centred at (1, 2) and passing through (4,6) is ...

    Text Solution

    |

  5. Equation of a circle which passes through (3, 6) and touches the axes ...

    Text Solution

    |

  6. Equation of the circle with centre on the y-axis and pussing through t...

    Text Solution

    |

  7. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  8. The equation of the circle described on the line joining the points (-...

    Text Solution

    |

  9. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  10. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  11. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  12. Given that the circleS x^(2)+y^(2)-2 x+6 y+6=0 and x^(2)+y^(2)-5 x+6 ...

    Text Solution

    |

  13. The locus of the centre of the circle which cuts the circles x^(2)...

    Text Solution

    |

  14. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  15. The radius of the circle 16 x^(2)+16 y^(2)-8 x+32 y-256=0 is

    Text Solution

    |

  16. The length of the intercept that a circle x^(2)+y^(2)+10 x-6 y+9=0 ma...

    Text Solution

    |

  17. The radius of the circle 3 x(x-2)+3 y(y+1)=4 is

    Text Solution

    |

  18. The equation of the tangtnt to the circle x^(2)+y^(2)+2 g x+2 f y+c=0...

    Text Solution

    |

  19. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  20. The equation of the circle circumscribing the triangle formed by the ...

    Text Solution

    |