Home
Class 12
MATHS
The radius of the circle which has the l...

The radius of the circle which has the lines `x+y-1=0, x+y-9=0` as tangents is

A

`sqrt(2)`

B

`2sqrt(2)`

C

`3sqrt(2)`

D

`4sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The radius of the circle which has the lines x+y-1=0 , x+y-9=0 as tengent is

The radius of any circle touching the lines 3x-4y+5=0, 6x-8y-9=0" is "

The equation of the circle which has a radius 5 and tangent as the line 3x-4y+5=0 at (1,2) is

The number of circles that touches all the three lines x+y-1=0, x-y-1=0 and y+1=0 is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 4x + 6y + 4 = 0 orthogonally is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 5x + 4y + 2 = 0 orthogonally is

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1...

    Text Solution

    |

  2. The line y=mx+c touches x^(2)+y^(2)=a^(2)hArr

    Text Solution

    |

  3. The radius of the circle which has the lines x+y-1=0, x+y-9=0 as tange...

    Text Solution

    |

  4. Equation of the tangent to the circle x^(2)+y^(2)=3, which is inclined...

    Text Solution

    |

  5. Find the equation of the normal to the circle x^(2) +y^(2) -4x -6y ...

    Text Solution

    |

  6. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

    Text Solution

    |

  7. P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0. The equation t...

    Text Solution

    |

  8. The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax ...

    Text Solution

    |

  9. The equation of the tangent to the circle x^(2)+y^(2)+4x-4y+4=0 which ...

    Text Solution

    |

  10. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

    Text Solution

    |

  11. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

    Text Solution

    |

  12. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

    Text Solution

    |

  13. Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and ha...

    Text Solution

    |

  14. If the equatio of one tangent to the circle with centre (2,-1) from th...

    Text Solution

    |

  15. The normal of the circle (x- 2)^(2)+ (y- 1)^(2) =16 which bisects the ...

    Text Solution

    |

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

    Text Solution

    |

  17. The angle between the tangents to the circle with centre (4,5) drawn f...

    Text Solution

    |

  18. The locus of the point of intersection of two perpendicular tangents t...

    Text Solution

    |

  19. Locus of point of intersection of perpendicular tangents to the circle...

    Text Solution

    |

  20. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |