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

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

A

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

B

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

C

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

D

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

If two lines 3 x-2 y-8=0 and 2 x-y-5=0 lie along two diameters of a circle which touches the x -axis then the equation of the circle is

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. 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 49 pi square units, 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 the equation of the circle is

If one of the diameters of the circle x^2+ y^2-2x-6y + 6=0 is a chord to the circle with centre (2, 1), then the radius of the circles is :

If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A and B , then the equation of the circle with radius A B and centre at A 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 A B as diameter is

If one end of diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2) , then the other end is :

The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to the same circle. The radius of the circle is :

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x - y = 2. Then the circle is:

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

    Text Solution

    |

  6. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  7. The equation x^(2)+y^(2)+4 x+6 y+13=0 represents

    Text Solution

    |

  8. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  9. The triangle PQR is inscribed in the circle x^2 + y^2 = 25. If Q and R...

    Text Solution

    |

  10. If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orth...

    Text Solution

    |

  11. If a > 2b > 0, then the positive value of m for which y=mx-bsqrt(1-m^2...

    Text Solution

    |

  12. If the tangent at a point P on the circle x^2 + y^2 + 6x + 6y = 2, mee...

    Text Solution

    |

  13. A square is formed by two pairs of straight lines x^2 - 8x + 12 = 0 an...

    Text Solution

    |

  14. If one of the diameters of the circle x^2+ y^2-2x-6y + 6=0 is a chord ...

    Text Solution

    |

  15. The locus of the centre of a circle which touches externally the cir...

    Text Solution

    |

  16. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  17. Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its t...

    Text Solution

    |

  18. The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2)+x-y+...

    Text Solution

    |

  19. Consider the circleS, x^(2)+(y-1)^(2)=9 (x-1)^(2)+y^(2)=25 . These ...

    Text Solution

    |

  20. The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)...

    Text Solution

    |