Home
Class 12
MATHS
The area of the circle x^(2)+y^(2)-4x-2y...

The area of the circle `x^(2)+y^(2)-4x-2y+k=0` is `25pi` square units then k=

A

20

B

`-20`

C

`+-20`

D

0

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
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • CIRCLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|47 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

If the area of the circle x^(2)+y^(2)+4x+2y+k=0 is 5pi square cms then k=

The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 is 3, then k

The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

If the lines kx + 2y -4 = 0 and 5x - 2y - 4 = 9 are conjugate with respect to the circle x^(2) + y^(2) - 2x - 2y + 1 = 0 , then k =

The length of the tangent from the point (-1,1) to the circle x^(2)+y^(2)-4x+k=0 equal to 2 then k=

If 2kx + 3y - 1 = 0 , 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) +y^(2) - 2x - 4y - 4 = 0 , t hen k =

If the length of the tangent from (2,5) to the circle x^(2) + y^(2) - 5x +4y + k = 0 is sqrt(37) then find k.

A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2)-6x+10y-38=0 then its area is (square units)

The value of k for which the circle x^(2) + y^(2) -4x + 6y +3 =0 will bisect the circumferece of the circle x^(2) +y^(2) +6x -4y +k=0 is

AAKASH SERIES-CIRCLES-EXERCISE -I
  1. If the centroid of an equilateral triangle is (1,1) and one of its ver...

    Text Solution

    |

  2. For the circle ax^(2)+y^(2)+bx+dy+2=0 centre is (1,2) then 2b+3d=

    Text Solution

    |

  3. The area of the circle x^(2)+y^(2)-4x-2y+k=0 is 25pi square units then...

    Text Solution

    |

  4. If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)...

    Text Solution

    |

  5. The circle through the points (2,3), (2,2), (3,2) is

    Text Solution

    |

  6. The equation of the circle passing through (2, 0) and (0, 4) and havin...

    Text Solution

    |

  7. If the points (0,0),(2,0),(0,-2) and (k,-2) are concylic then k=

    Text Solution

    |

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

    Text Solution

    |

  9. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

    Text Solution

    |

  10. If a circle is inscribed in a square of side 10, so that the circle t...

    Text Solution

    |

  11. The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 i...

    Text Solution

    |

  12. The equation of the circle with centre (3,2) and the power of (1,-2) w...

    Text Solution

    |

  13. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  14. A chord through P cut the circle x^(2)+y^(2)+2gx+2fy+c=0 in A and B an...

    Text Solution

    |

  15. A chord of length 24 units is a distance of 5 units from the centre of...

    Text Solution

    |

  16. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

    Text Solution

    |

  17. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

    Text Solution

    |

  18. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

    Text Solution

    |

  19. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  20. The locus of the point from which the length of the tangent to the cir...

    Text Solution

    |