Home
Class 12
MATHS
A circle with centre at (2, 4) is such t...

A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a chord of length 6. The radius of the circle is

A

`sqrt(41)` cm

B

`sqrt(11)` cm

C

`sqrt(21)` cm

D

`sqrt(31)` cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

Equation of circle with centre (3,-1) and which cuts off a chord of length 6 on the line 2x-5y+18=0 is

The radius of circle having centre at (2,1) and whose on of the chord is diameter of the circle x^(2)+y^(2)-2x-6y+6=0 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 at (2,1) show that the radius of the circle is 3.

The locus of the centre of a circle which passes through the point (h,k) and cuts of a chord of length 2d on the line lx+my+n=0 is

The circle with centre (1, 2) cuts the circle x^2 + y^2 + 14x - 16y + 77 = 0 orthogonally then its radius is

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

The equation of the cirlce with centre (0,0) and which cuts off a chord of length 4 units on x+2y=5 is

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. The sum of the minimum and maximum distances of the point (4,-3) to th...

    Text Solution

    |

  2. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  3. A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a c...

    Text Solution

    |

  4. The condition for the lines lx + my + n = 0 and l(1) x + m(1)y + n(1) ...

    Text Solution

    |

  5. The circle 4x^(2)+4y^(2)-12x-12y+9=0

    Text Solution

    |

  6. For the circle C with the equation x^(2) + y^(2) - 16x - 12y + 64 = 0 ...

    Text Solution

    |

  7. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  8. Given the circle C with the equation x^(2) + y^(2) - 2x + 10y - 38 = 0...

    Text Solution

    |

  9. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

    Text Solution

    |

  10. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

    Text Solution

    |

  11. The radius of the circle r = 12 cos theta + 5 sin theta is

    Text Solution

    |

  12. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

    Text Solution

    |

  13. A line segment AM=a moves in the XOY plane such that AM is parallel to...

    Text Solution

    |

  14. If the lines 3x+4y-14=0 and 6x+8y+7=0 are both tangents to a circle, t...

    Text Solution

    |

  15. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  16. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  17. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |

  18. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  19. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

    Text Solution

    |

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

    Text Solution

    |