Home
Class 12
MATHS
If the Iines 2x+3y+1=0 and 3x-y-4=0 lie ...

If the Iines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of cir- cumference `10pi`, then the equation of the circle is

A

`x^(2)+y^(2)-2x+2y-23=0`

B

`x^(2)+y^(2)+2x-2y-23=0`

C

`x^(2)+y^(2)+2x+2y-23=0`

D

`x^(2)+y^(2)-2x-2y-23=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameter of a circle of circumference 10pi , then show that the equation of the circle is x^(2)_y^(2)-2x+2y-23=0

If the lines x + 2y-5=0 and 2x - 3y +4 = 0 lie along diameters of a circle of area is 9 pi then the equation of the 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 the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of area 49pi square units, the equation of the 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

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=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

If a circle touches the lines 3x - 4y - 10 = 0 and 3x - 4y + 30 = 0 and its centre lies on the line x + 2y = 0, then the equation of the circle 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

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

  2. A variable circle passes through the fixed point A(p, q) and touches a...

    Text Solution

    |

  3. If the Iines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

  4. The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

    Text Solution

    |

  5. The centre of the circle (x-2)(x-4)+(y-1)(y+3)=0 is

    Text Solution

    |

  6. The centre of the circle circumscribing the triangle formed by the lin...

    Text Solution

    |

  7. The centre of the incircle of the triangle formed by the line 3x+4y=24...

    Text Solution

    |

  8. Equation of the circle passing through A(1,2), B(5, 2) so that the ang...

    Text Solution

    |

  9. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y-4=0 that ...

    Text Solution

    |

  10. The straight lines joining the origin to the points of intersectiion o...

    Text Solution

    |

  11. A straight line moves such that the algebraie-sum of the perpendicular...

    Text Solution

    |

  12. If the base of a triangle and the ratio of the lengths of the other tw...

    Text Solution

    |

  13. The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2...

    Text Solution

    |

  14. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

    Text Solution

    |

  15. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

    Text Solution

    |

  16. A circle of radius r passes through the origin and meets the axes at A...

    Text Solution

    |

  17. A=(cos theta, sin theta) and B=(sin theta,-cos theta) are two points. ...

    Text Solution

    |

  18. The equation of the circle which passes through the origin and cuts of...

    Text Solution

    |

  19. The equation of the circle concentric with x^(2)+y^(2)-2x+8y-23=0 and ...

    Text Solution

    |

  20. The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and h...

    Text Solution

    |