Home
Class 12
MATHS
If (1,-3) is the centre of the circle ...

If (1,-3) is the centre of the circle ` x^(2) + y^(2) +ax + by + 9 =0` its radius is

A

`sqrt10`

B

1

C

5

D

`sqrt19`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Fill in the blanks )|14 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.6|25 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0 .

Find the centre and radius of circles. x^(2)+y^(2)-4x-8y-45=0 .

Find the centre and radius of circles. 2x^(2)+2y^(2)-x=0 .

Find the centre and radius of circles. x^(2)+y^(2)-8x+10y-12=0 .

The radius of the circle having centre at (2,1) whose one of the chords is diameter of the circle x^2 + y^2 - 2x - 6y + 6 = 0 is

Find the centre and radius of the circle 3x^(2)+(a+1)y^(2)+6x-9y+a+4=0 .

Consider the circle x^2 + y^2 + 8x + 10y - 8 = 0 (i) Find its radius of the circle x^2 + y^2 + 8x + 10y - 8 = 0 (ii) Find the equation of the circle with centre at C and passing through (1,2).

SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -ADDITIONAL QUESTIONS ( MCQ)
  1. If ( 0,4) and (0,2) are the vertex and focus of a parabola then its e...

    Text Solution

    |

  2. The equation of the directrix of the parabola y^(2) + 4y + 4x + 2 =...

    Text Solution

    |

  3. Equation of tangent at (-4,-4) on x^2 = -4y is

    Text Solution

    |

  4. y^(2) -2x -2y + 5 =0 is a

    Text Solution

    |

  5. If a parabolic reflector is 20 cm in diameter and 5 cm deep, then i...

    Text Solution

    |

  6. The eccenticity of the ellipse 9x^(2) + 5y^(2) - 30y = 0is

    Text Solution

    |

  7. The length of the latus rectum of the ellipse x^(2)/49 + y^(2)/36 = 1...

    Text Solution

    |

  8. If the distance between the foci is 2 and the distance between the dir...

    Text Solution

    |

  9. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  10. The equation 7x^(2) - 6sqrt3 xy + 13y^(2) - 4sqrt3 - 4y- 12 =0 repres...

    Text Solution

    |

  11. The distance between the foci of a hyperbola is 16 and e = sqrt2 . It...

    Text Solution

    |

  12. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

    Text Solution

    |

  13. When the eccentricity of a ellipse becomes zero , then it becomes a

    Text Solution

    |

  14. The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1

    Text Solution

    |

  15. The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

    Text Solution

    |

  16. The length of the diameter of a circle with centre (1,2) and passing t...

    Text Solution

    |

  17. If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 ...

    Text Solution

    |

  18. If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then...

    Text Solution

    |