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

If the lines 2x + 3y + 1 = 0 and 3x - y-4 = 0 lie along two diameters of a circle of circumference `10 pi`, then the equation of circle is (i) `x^(2) + y^(2) + 2x + 2y + 23 = 0 ` (ii) ` x^(2) + y^(2) - 2x - 2y - 23 = 0 ` (iii) ` x^(2) + y^(2) - 2 x + 2y - 23 = 0 ` (iv) `x^(2) + y^(2) + 2x - 2y + 23 = 0 `

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

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|16 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

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 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 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 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:

Let circle cuts ortholognally each of the three circles x^(2) + y^(2) + 3x + 4y + 11 = 0, x^(2) + y^(2) - 3x + 7y - 1 = 0 and x^(2) + y^(2) + 2x = 0

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in the line x+y-2=0

Find the equation of the tangent to the circle x^(2) + y^(2) - 2x + 8y - 23 = 0 at the point P(3, - 10) on it.

Coordinates of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 1; x^2 + y^2 + 2x - 3 = 0 and x^2 + y^2 + 2y-3 = 0 is

ARIHANT MATHS ENGLISH-CIRCLE -Exercise For Session 1
  1. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  2. If the equation px^(2)+(2-q)xy+3y^(2)-6qx+30y+6q=0 represents a circle...

    Text Solution

    |

  3. The equation of circle having centre at (2,2) and passes through the p...

    Text Solution

    |

  4. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  5. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  6. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

    Text Solution

    |

  7. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |

  8. If the lines 2x + 3y + 1 = 0 and 3x - y-4 = 0 lie along two diameters...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. If a circle is concentric with the circle x^(2)+y^(2)-4x-6y+9=0 and pa...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let P Qa n dR S be tangent at the extremities of the diameter P R of a...

    Text Solution

    |

  13. Find the centre and radius of circle 5x^(2)+5y^(2)+4x-8y=16.

    Text Solution

    |

  14. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

    Text Solution

    |

  15. Find the equation of the circle having (1,-2) as its centre and passin...

    Text Solution

    |

  16. Equation of circle passing through the centre of the circle x^2+y^2-4x...

    Text Solution

    |

  17. Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+...

    Text Solution

    |

  18. Find the equation of the following curves in cartesian form. If the cu...

    Text Solution

    |