Home
Class 11
MATHS
The equation of the circle which passes ...

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

A

`X^2+Y^2++3X+3Y+9=0`

B

`X^2+Y^2+3X+3Y=0`

C

`X^2+Y^2-3X-3Y=0`

D

`X^2+Y^2-3X-3Y+9=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise section(B) (Very Short Answer Type) (2 Mark)|8 Videos

  • COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise section(C) (Short Answer Type Question) (4 Marks)|17 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|49 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

The equation of the line passing through the points of intersection of the circles 3x^(2)+3y^(2)-2x+12y-9=0 and x^(2)+y^(2)+6x+2y-15=0

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

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 circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13)" is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle which pass through the origin and cuts orthogonally each of the circles x^(2)+y^(2)-6x+8=0 and x^(2)+y^(2)-2x-2y-7=0 is

The equation of the circle which pass through the origin and cuts orthogonally each of the circles x^(2)+y^(2)-6x+8=0 and x^(2)+y^(2)-2x-2y=7 is

CBSE COMPLEMENTARY MATERIAL-COORDINATE GEOMETRY-section(D) (Long Answer Type Questions ) (6 Marks)
  1. The equation of the circle which passes through the points of intersec...

    Text Solution

    |

  2. Prove that the points (1, 2), (3, - 4), (5, -6) and (11,-8) are concyc...

    Text Solution

    |

  3. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

    Text Solution

    |

  4. find the equation of the circle which passes through the points (20,3)...

    Text Solution

    |

  5. Find the equation of the circle having (1,-2) as its centre and passin...

    Text Solution

    |

  6. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

    Text Solution

    |

  7. Show that the points A(5,5), B(6,4), C(-2,4) and D(7,1) all lies on t...

    Text Solution

    |

  8. Find the equation of the ellipse whose minor aixs is equal to the dist...

    Text Solution

    |

  9. Find the equation of the hyperbola whose axes (transverse and conjugat...

    Text Solution

    |

  10. prove that the line 3x+4y+7=0 touches the circle x^2+y^2-4x-6y-12=0 al...

    Text Solution

    |

  11. The equation of the ellipse whose focus is (1,0) and the directr...

    Text Solution

    |

  12. Prove that the area of the traingle inscribed in the parabola y^2=4ax ...

    Text Solution

    |

  13. The equation of the tangent to the circle x^(2)+y^(2)-2x-4y-4=0 which ...

    Text Solution

    |

  14. find the equations of tangents to the circle x^2+y^2-4x-6y-12=0 which ...

    Text Solution

    |

  15. Find the equation of the parabola whose focus is (1,-1) and whose vert...

    Text Solution

    |

  16. Find the equation of the hyperbola whose directrix is 2x+y=1, focus(1,...

    Text Solution

    |

  17. find the equation of cicle in the following case touches both the ...

    Text Solution

    |

  18. find the equation of circle in each of the following cases ...

    Text Solution

    |

  19. find the equation of cicle in each of the following cases ) (c)touche...

    Text Solution

    |

  20. find the equation of cicle in each of the following cases )(d) touche...

    Text Solution

    |

  21. Find the equation of a circle which touches x-axis at the origin and w...

    Text Solution

    |