Home
Class 12
MATHS
If the lines 2x-3y=5 and 3x-4y=7 are the...

If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

A

`x^(2) + y^(2) - 2y =62`

B

`x^(2) + y^(2) + 2x -2y =47`

C

`x^(2) + y^(2) -2x + 2y =62`

D

`x^(2) + y^(2) - 2x + 2y =47`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If the lines 3x + y = 11 and x - y = 1 are the diameters of a circle of area 154 sq. 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 x^2+y^2+2x-2y=62 x^2+y^2+2x-2y=47 x^2+y^2-2x+2y=47 x^2+y^2-2x+2y=62

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

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+y+3=0 and 2x-y-9=0 lie along diameters of a circle of circumference 8pi then the equation of the circle is :

If the equations of the two diameters of a circle are x-y=5\ and \ 2x+y=4 and the radius of the circle is 5, find the equation of the circle.

The line 4x+3y-4=0 divides the circumference of the circle centred at (5,3) in the ratio 1:2. Then the equation of the circle is

I the equations of two diameters of a circles are 2x+y=6\ a n d\ 3x+2y=4 and the radius is 10, find the equation of the circle.

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. Find the equation of a circle passing through the points (5,7),(6,6)an...

    Text Solution

    |

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

    Text Solution

    |

  3. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y that is p...

    Text Solution

    |

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

    Text Solution

    |

  5. The shortest distance from the point (2,-7) to thwe circe x^(2)+y^(2)-...

    Text Solution

    |

  6. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  7. If the line y = 3x + c is a tangent to x^(2) + y^(2) = 4 then the valu...

    Text Solution

    |

  8. The length of intercept on the straight line 3x + 4y -1 = 0 by the cir...

    Text Solution

    |

  9. Locus of middle point of intercept of any tangent with respect to the ...

    Text Solution

    |

  10. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  11. If length of the common chord of the circles x^2 + y^2 + 2x + 3y + 1 =...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The equation of circle passing through the point (1, 1) and point of i...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  18. Obtain the equation of the circle orthogonal to both the circles x^2+y...

    Text Solution

    |

  19. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  20. If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the ...

    Text Solution

    |