Home
Class 11
MATHS
The equation of the circle passing throu...

The equation of the circle passing through the point (1, 1) and through the points of intersection of the circles : `x^2+ y^2=6` and `x^2+ y^2-6y+8=0` is :

A

`x^2+ y^2+3y-13=0`

B

`x^2+ y^2-3y+1=0`

C

`x^2+ y^2-3x +1=0`

D

`5x^2+ 5y^2+ 6y+16=0` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Equation of line passing through the point (2,3,1) and parallel to the line of intersection of the planes: x-2y-z+5=0 and x+y+3z=6 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 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.

Find the equation of the circle passing through the point (2,4) and has its centre at the intersection of x-y =4. and 2x +3y=-7.

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If (3, 3) is a vertex of a triangle and (- 3, 6) and (9,6) are the mid...

    Text Solution

    |

  2. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  3. The equation of the circle passing through the point (1, 1) and throug...

    Text Solution

    |

  4. If the lines : x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent, wher...

    Text Solution

    |

  5. If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle,...

    Text Solution

    |

  6. If x= 9 is the chord of contact of the hyperbola x^2-y^2=9, then the e...

    Text Solution

    |

  7. On the ellipse 4x^2+9y^2=1, the points at which tangents are parallel ...

    Text Solution

    |

  8. The equation of the common tangent touching the circle (x-3)^2 +y^2=9 ...

    Text Solution

    |

  9. The number os integral values of m for which the x - coordinates of th...

    Text Solution

    |

  10. The equation of the directrix of the parabola : y^2+ 4y + 4x+2=0 is:

    Text Solution

    |

  11. Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angl...

    Text Solution

    |

  12. Let PQ and RS be tangents at the extremities of the diameter PR or a c...

    Text Solution

    |

  13. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  14. If agt2abgt0, then the positive value of m for which y=mx-bsqrt((1+m^(...

    Text Solution

    |

  15. The locus of the mid-point of the line segment joining the focus to a ...

    Text Solution

    |

  16. The area bounded by the curves : y=|x-1| and y=1 is :

    Text Solution

    |

  17. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

    Text Solution

    |

  18. If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets ...

    Text Solution

    |

  19. A straight line through the origin O meets the parallel lines 4x + 2y ...

    Text Solution

    |

  20. Let P=(-1,0) ,Q =(0,0) and R (3,3sqrt(3)) be three point . The equatio...

    Text Solution

    |