Home
Class 12
MATHS
The Locus of the centre of the circle of...

The Locus of the centre of the circle of radius 3, which rolls on the outside of the circle `x^2+y^2+3x-6y-9=0` is :

A

`x^(2)+y^(2)+3 x-6 y-31=0`

B

`x^(2)+y^(2)+3 x-6 y-(29)/(4)=0`

C

`x^(2)+y^(2)+3 x-6 y-45=0`

D

`x^(2)+y^(2)+3 x-6 y+31=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Locus of centre of a circle of radius 2, which rolls on the outside of circle x^2 +y^2 + 3x-6y-9=0 is

Find the centre of the circle 3x^2+3y^2-6x-12y-2=0

The locus of the centre of a circle which touches externally the circle x^(2)+y^(2)-6 x-6 y+14=0 and also touches the y -axis is given by the equation

The locus of the centre of a circle which cuts orthogonally the circle x^2+y^2 -20x+4=0 and which touches x = 2 is :

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

The radius of the circle 3 x(x-2)+3 y(y+1)=4 is

The locus of the centre of 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 : x^2+y^2+4x cos theta - 2 y sin theta - 10 = 0 is ,

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The points (1,0 ),(0,1),(0,0) and (2k,3k), k ne 0 are concyclic if k =

    Text Solution

    |

  2. If a circle with the point (-1, 1) as the centre touches the line x + ...

    Text Solution

    |

  3. The Locus of the centre of the circle of radius 3, which rolls on the ...

    Text Solution

    |

  4. if the square of the length of the tangents from point P to the circ...

    Text Solution

    |

  5. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

    Text Solution

    |

  6. The centres of a set of circleS each of radius 3 lies on the circle ...

    Text Solution

    |

  7. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  8. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

  9. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

  10. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  11. Consider a family of circles which are passing through the point (-1, ...

    Text Solution

    |

  12. The point diametrically opposite to the point P (1, 0) on the circle x...

    Text Solution

    |

  13. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

    Text Solution

    |

  14. Three distinct points A, B and C are given in the 2 -dimensional coord...

    Text Solution

    |

  15. The circle x^2+y^2 =4x+8y+5 intersects the line 3x-4y=m at two distinc...

    Text Solution

    |

  16. The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other...

    Text Solution

    |

  17. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  18. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  19. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  20. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |