Home
Class 12
MATHS
The diameters of a circle pre along 2x+y...

The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the equation of this circle, which also passes through (5,7) is:

A

`x^(2) + y^(2) - 4x - 6y - 16 = 0`

B

`x^(2) + y^(2) - 4x - 6y - 20 = 0`

C

`x^(2) + y^(2) - 4x - 6y - 12 = 0`

D

`x^(2) + y^(2) + 4x + 6y - 12 =0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos
  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

The lines 2x-3y=5 and 3x-4y=7 are two diameters of a circle of area 154 sq unit. Then the equation of this circle is

The lines 2x-3y=11 and 3x-4y=18 are two diameters of a circle of area 154 eq unit. Then the equation of this circle is

If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of radius 7, then the equation of the circle is

If a circle of area 16pi has two of its diamters along the line 2x-3y +5=0 and x+3y -11=0 then the equation of the circle is

If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A and B , then the equation of the circle with AB as diameter is

The lines 2x-3y+5 and 3x-4y=7 are the diameters of a circle of area 154 sq. units. Then equation of circle is

If P and Q are the Points of intersection of the circles x^2 + y^2 + 3x + 7y -2p - 5 = 0 and x^2 +y^2 +2x +2y- p^2 =0 then there is a circle passing through P, Q and (1, 1) for

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Find the equation of line parallel to 2x + 3y + 7 = 0 and passing through (5, 4).

The lines 2x-3y=5 and 3x-4y=7 are diameters of a circle of are 154 sq. units. Taking pi=22/7 , show that the equation of the circle is x^(2)+y^(2)-2x+2y=47

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |

  2. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  3. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

    Text Solution

    |

  4. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

    Text Solution

    |

  5. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

    Text Solution

    |

  6. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  7. The radius of the circle with the polar equation r^(2) - 8r (sqrt(3) c...

    Text Solution

    |

  8. The equation of the circle of radius 3 that lies in the fourth quadran...

    Text Solution

    |

  9. The polar equation of the circle with centre (2, (pi)/(2)) and radius ...

    Text Solution

    |

  10. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

    Text Solution

    |

  11. Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis ...

    Text Solution

    |

  12. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

    Text Solution

    |

  13. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  14. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |

  15. Which of the following equation gives a circle ?

    Text Solution

    |

  16. If P(1), P(2), P(3) are the perimeters of the three circles x^(2) + y^...

    Text Solution

    |

  17. The centre of the circle r^(2) - 4r (cos theta + sin theta) - 4 = 0 in...

    Text Solution

    |

  18. The radius of the circle r = sqrt(3) sin theta + cos theta is

    Text Solution

    |

  19. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

    Text Solution

    |

  20. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

    Text Solution

    |