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

The circumference of circle `x^(2)+y^(2)-10y-36=0` is

A

38

B

49

C

54

D

125

Text Solution

Verified by Experts

The correct Answer is:
B

Complete the square to get `x^(2)+(y-5)^(2)=61`.
Radius `=sqrt(61).C=2pir=2pisqrt(61)~~49.`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The circumference of the circle x^2+y^2-2x+8y-q=0 is bisected by the circle x^2+ y^2+4x+12y+p=0 , then p+q is equal to

If 'P' is any point on the circumference of the circle x^(2) + y^(2) - 4x - 4y -8 =0 , then the perpendicular distance of the tangent at P from the centre of the circle is

Show that the circle x^2+y^2+4x+4y-1=0 bisects the circumference of the circle x^2+y^2+2x-3=0 .

A circle bisects the circumference of the circle x^2+ y^2 +2y -3=0 and touches the line x= y at the point (1, 1) . Its radius is

If the circumference of the circle x^2+y^2+8x+8y-b=0 is bisected by the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is 5x^2+5y^2+18 x+6y-5=0 5x^2+5y^2+9x+8y-15=0 5x^2+5y^2+4x+9y-5=0 5x^2+5y^2-4x-2y-18=0

Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of the circle x^2 + y^2 - 8x-6y+23=0

If the circle x^2+y^2-6x-4y+9=0 bisects the circumference of the circle x^2+y^2-8x-6y+a=0 , then the value of a is ____

If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumference of the circle x^(2) +y^(2) + 2g'x + 2f'y + c' = 0 , them the length of the common chord of these two circles is

If the circle x^2 + y^2 + 6x -2y + k = 0 bisects the circumference of the circle x^2 + y^2 + 2x- 6y-15=0 , then

If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the circle x^2 + y^2-2x + 8y-d = 0 ,then (c+d) is equal to

ENGLISH SAT-MODEL TEST 1-MCQs
  1. If f(x)=sqrt(2x+3) and g(x)=x^(2)+1, then f(g(2))=

    Text Solution

    |

  2. What is the value of x if 4^(x+1)=8^(x)?

    Text Solution

    |

  3. The circumference of circle x^(2)+y^(2)-10y-36=0 is

    Text Solution

    |

  4. Twenty-five percent of a group of unrelated students are only children...

    Text Solution

    |

  5. If f(x)=2 for all real numbers x, then f(x+2)=

    Text Solution

    |

  6. The volume of the regtion between two concentric spheres of radii 2 an...

    Text Solution

    |

  7. If a,b and c are real numbers and if a^(5)b^(3)c^(8)=(9a^(3)c^(8))/(b^...

    Text Solution

    |

  8. In right triangle, ABC, AB=10,BC=8,AC=6.

    Text Solution

    |

  9. if 16^(x)=4 and 5^(x+y)=625, then y=

    Text Solution

    |

  10. If the parameter is eliminated from the equations x=t^(2)+1 and y=2t, ...

    Text Solution

    |

  11. Let f(x) be a polynomial function: f(x)=x^(5)+ . . . . if f(1)=0 and f...

    Text Solution

    |

  12. If x-y=2,y-z=4, and x-y-z=-3, then y=

    Text Solution

    |

  13. If z gt 0, a =zcostheta, and b=zsintheta, then sqrt(a^(2)+b^(2))=

    Text Solution

    |

  14. If the vertices of a triangle are (u,0),(v,8), and (0,0) then the area...

    Text Solution

    |

  15. What is the difference between the min and max values of the function ...

    Text Solution

    |

  16. What is the probability that a prime number is less than 7, given that...

    Text Solution

    |

  17. The ellipse 4x^(2)+8y^(2)=64 and the circle x^(2)+y^(2)=9 intersect a...

    Text Solution

    |

  18. Each term of a sequence, after the first, is inversely proportional t...

    Text Solution

    |

  19. A company offers you the use of its computer for a fee. Plan A costs $...

    Text Solution

    |

  20. if the probability that the Giants will win the NFC championship is p ...

    Text Solution

    |